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100222121001212 = 227219137331593479
BaseRepresentation
bin10110110010011011000111…
…111010111100000011111100
3111010212010210221011111201022
4112302123013322330003330
5101114014400434014322
6553053223510403312
730052544405406200
oct2662330772740374
9433763727144638
10100222121001212
1129a2aa65579a61
12b2a7875660538
1343bcba03a1942
141aa6ac2b70b00
15b8c019cc4942
hex5b26c7ebc0fc

100222121001212 has 144 divisors (see below), whose sum is σ = 216983219846400. Its totient is φ = 40272562471680.

The previous prime is 100222121001181. The next prime is 100222121001241. The reversal of 100222121001212 is 212100121222001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168575489 + ... + 169168967.

It is an arithmetic number, because the mean of its divisors is an integer number (1506827915600).

Almost surely, 2100222121001212 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 100222121001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108491609923200).

100222121001212 is an abundant number, since it is smaller than the sum of its proper divisors (116761098845188).

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

100222121001212 is a wasteful number, since it uses less digits than its factorization.

100222121001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593984 (or 593975 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222121001212 its reverse (212100121222001), we get a palindrome (312322242223213).

The spelling of 100222121001212 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 137 196 266 274 331 532 548 662 931 959 1324 1862 1918 2317 2603 3724 3836 4634 5206 6289 6713 9268 10412 12578 13426 16219 18221 25156 26852 32438 36442 44023 45347 64876 72884 88046 90694 127547 176092 181388 255094 308161 317429 510188 593479 616322 634858 861593 1186958 1232644 1269716 1723186 2222003 2373916 3446372 4154353 4444006 6031151 8308706 8888012 11276101 12062302 16617412 22552202 24124604 29080471 42218057 45104404 58160942 78932707 81306623 84436114 116321884 157865414 162613246 168872228 196441549 315730828 325226492 392883098 552528949 569146361 785766196 1105057898 1138292722 1375090843 1544825837 2210115796 2276585444 2750181686 3089651674 3732389431 3984024527 5500363372 6179303348 7464778862 7968049054 9625635901 10813780859 14929557724 15936098108 19251271802 21627561718 26126726017 26912492213 38502543604 43255123436 52253452034 53824984426 75696466013 104506904068 107649968852 151392932026 182887082119 188387445491 302785864052 365774164238 376774890982 511337352047 731548328476 753549781964 1022674704094 1318712118437 2045349408188 2637424236874 3579361464329 5274848473748 7158722928658 14317445857316 25055530250303 50111060500606 100222121001212