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100122200201212 = 22725342181128229
BaseRepresentation
bin10110110000111110000100…
…001011010101011111111100
3111010111120220021112221102221
4112300332010023111133330
5101110400231222414322
6552535300453055124
730042406312542400
oct2660760413253774
9433446807487387
10100122200201212
11299a164a919002
12b29042a3274a4
1343b3638102407
141aa1d24449100
15b8961c9d19c7
hex5b0f842d57fc

100122200201212 has 144 divisors (see below), whose sum is σ = 208423178097120. Its totient is φ = 41946627340800.

The previous prime is 100122200201207. The next prime is 100122200201213. The reversal of 100122200201212 is 212102002221001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122200201213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546771114 + ... + 3546799342.

It is an arithmetic number, because the mean of its divisors is an integer number (1447383181230).

Almost surely, 2100122200201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122200201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104211589048560).

100122200201212 is an abundant number, since it is smaller than the sum of its proper divisors (108300977895908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122200201212 is a wasteful number, since it uses less digits than its factorization.

100122200201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29532 (or 29523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122200201212 its reverse (212102002221001), we get a palindrome (312224202422213).

The spelling of 100122200201212 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 421 742 811 842 1484 1622 1684 2597 2947 3244 5194 5677 5894 10388 11354 11788 20629 22313 22708 28229 39739 41258 42983 44626 56458 79478 82516 85966 89252 112916 156191 158956 171932 197603 300881 312382 341431 395206 601762 624764 682862 790412 1093337 1203524 1365724 1383221 1496137 2106167 2186674 2390017 2766442 2992274 4212334 4373348 4780034 5532884 5984548 8424668 9560068 10472959 11884409 16730119 18095843 20945918 22893719 23768818 33460238 36191686 41891836 45787438 47537636 66920476 72383372 73310713 83190863 91574876 126670901 146621426 160256033 166381726 253341802 293242852 320512066 332763452 506683604 582336041 629873677 641024132 886696307 1121792231 1164672082 1213367107 1259747354 1773392614 2243584462 2329344164 2426734214 2519494708 3546785228 4409115739 4487168924 4853468428 8493569749 8818231478 9638255699 16987139498 17636462956 19276511398 30863810173 33974278996 38553022796 59454988243 61727620346 67467789893 118909976486 123455240692 134935579786 237819952972 269871159572 472274529251 510827552047 944549058502 1021655104094 1889098117004 2043310208188 3575792864329 7151585728658 14303171457316 25030550050303 50061100100606 100122200201212