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100211210121012 = 223149683400720479
BaseRepresentation
bin10110110010010000111101…
…100101001110111100110100
3111010211002122112102100212020
4112302100331211032330310
5101113330024242333022
6553044221104353140
730052010130431634
oct2662207545167464
9433732575370766
10100211210121012
1129a263766811a1
12b2a572b6157b0
1343bbb51a7b703
141aa6369a5c6c4
15b8bacbe8b35c
hex5b243d94ef34

100211210121012 has 96 divisors (see below), whose sum is σ = 235810455552000. Its totient is φ = 33121085745792.

The previous prime is 100211210120999. The next prime is 100211210121041. The reversal of 100211210121012 is 210121012112001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100211210120982 and 100211210121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4893354189 + ... + 4893374667.

It is an arithmetic number, because the mean of its divisors is an integer number (2456358912000).

Almost surely, 2100211210121012 is an apocalyptic number.

100211210121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211210121012 is an abundant number, since it is smaller than the sum of its proper divisors (135599245430988).

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

100211210121012 is a wasteful number, since it uses less digits than its factorization.

100211210121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25325 (or 25323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211210121012 its reverse (210121012112001), we get a palindrome (310332222233013).

The spelling of 100211210121012 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 149 298 447 596 683 894 1366 1788 2049 2732 4007 4098 8014 8196 12021 16028 20479 24042 40958 48084 61437 81916 101767 122874 203534 245748 305301 407068 597043 610602 1194086 1221204 1791129 2388172 2736781 3051371 3582258 5473562 6102742 7164516 8210343 9154113 10947124 12205484 13987157 16420686 18308226 27974314 32841372 36616452 41961471 55948628 82059353 83922942 164118706 167845884 246178059 328237412 407780369 492356118 815560738 984712236 1223341107 1631121476 2084086393 2446682214 4168172786 4893364428 6252259179 8336345572 12226843597 12504518358 24453687194 25009036716 36680530791 48907374388 56046538099 73361061582 112093076198 146722123164 168139614297 224186152396 336279228594 672558457188 8350934176751 16701868353502 25052802530253 33403736707004 50105605060506 100211210121012