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12101210121 = 3711213379901
BaseRepresentation
bin10110100010100100…
…11101000000001001
31011020100120011112110
423101102131000021
5144240402210441
65320442532533
7605610405660
oct132122350011
934210504473
1012101210121
11514a8aa300
122418807149
1311ab110080
1482b245dd7
154ac5b3b16
hex2d149d009

12101210121 has 96 divisors (see below), whose sum is σ = 22420029184. Its totient is φ = 5645376000.

The previous prime is 12101210119. The next prime is 12101210123.

12101210121 is nontrivially palindromic in base 10.

12101210121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (12101210119) and next prime (12101210123).

It is not a de Polignac number, because 12101210121 - 21 = 12101210119 is a prime.

It is an alternating number because its digits alternate between odd and even.

12101210121 is a modest number, since divided by 1210121 gives 121 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12101210097 and 12101210106.

It is not an unprimeable number, because it can be changed into a prime (12101210123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217271 + ... + 1227171.

Almost surely, 212101210121 is an apocalyptic number.

12101210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101210121 is a deficient number, since it is larger than the sum of its proper divisors (10318819063).

12101210121 is a wasteful number, since it uses less digits than its factorization.

12101210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

It can be divided in two parts, 12101 and 210121, that added together give a palindrome (222222).

The spelling of 12101210121 in words is "twelve billion, one hundred one million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8547 9901 10101 11011 13431 15873 29703 31339 33033 37037 58201 69307 94017 108911 111111 128713 174603 207921 326733 366337 386139 407407 762377 900991 1099011 1198021 1222221 1415843 2287131 2564359 2702973 3594063 4029707 4247529 4762381 7693077 8386147 9910901 12089121 14287143 15574273 25158441 28207949 29732703 33336667 44326777 46722819 52386191 84623847 100010001 109019911 132980331 157158573 310287439 327059733 366703337 576248101 930862317 1100110011 1728744303 4033736707 12101210121