102112001012112 has 160 divisors (see below), whose sum is σ = 325076342449152. Its totient is φ = 26896417362432.

The previous prime is 102112001012081. The next prime is 102112001012113. The reversal of 102112001012112 is 211210100211201.

It is a happy number.

It is a super-2 number, since 2×102112001012112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112001012091 and 102112001012100.

It is not an unprimeable number, because it can be changed into a prime (102112001012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11414538 + ... + 18289769.

Almost surely, 2^{102112001012112} is an apocalyptic number.

102112001012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112001012112 is an abundant number, since it is smaller than the sum of its proper divisors (222964341437040).

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

102112001012112 is a wasteful number, since it uses less digits than its factorization.

102112001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29705125 (or 29705119 counting only the distinct ones).

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

Adding to 102112001012112 its reverse (211210100211201), we get a palindrome (313322101223313).

The spelling of 102112001012112 in words is "one hundred two trillion, one hundred twelve billion, one million, twelve thousand, one hundred twelve".