102121000110112 has 48 divisors (see below), whose sum is σ = 213020972374392. Its totient is φ = 48024491868160.

The previous prime is 102121000110109. The next prime is 102121000110167. The reversal of 102121000110112 is 211011000121201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94396847366416 + 7724152743696 = 9715804^2 + 2779236^2 .

It is a super-2 number, since 2×102121000110112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102121000110092 and 102121000110101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62571253 + ... + 64182580.

Almost surely, 2^{102121000110112} is an apocalyptic number.

It is an amenable number.

102121000110112 is an abundant number, since it is smaller than the sum of its proper divisors (110899972264280).

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

102121000110112 is a wasteful number, since it uses less digits than its factorization.

102121000110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126755341 (or 126755333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121000110112 its reverse (211011000121201), we get a palindrome (313132000231313).

The spelling of 102121000110112 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred ten thousand, one hundred twelve".