102112010121 has 24 divisors (see below), whose sum is σ = 149278585824. Its totient is φ = 61574293440.

The previous prime is 102112010089. The next prime is 102112010123. The reversal of 102112010121 is 121010211201.

It is not a de Polignac number, because 102112010121 - 2⁵ = 102112010089 is a prime.

It is a super-2 number, since 2×102112010121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112010097 and 102112010106.

It is not an unprimeable number, because it can be changed into a prime (102112010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267765 + ... + 1345901.

It is an arithmetic number, because the mean of its divisors is an integer number (6219941076).

Almost surely, 2^102112010121 is an apocalyptic number.

102112010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112010121 is a deficient number, since it is larger than the sum of its proper divisors (47166575703).

102112010121 is an equidigital number, since it uses as much as digits as its factorization.

102112010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78549 (or 78350 counting only the distinct ones).

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

Adding to 102112010121 its reverse (121010211201), we get a palindrome (223122221322).

The spelling of 102112010121 in words is "one hundred two billion, one hundred twelve million, ten thousand, one hundred twenty-one".