102120011012112 has 40 divisors (see below), whose sum is σ = 263813051285856. Its totient is φ = 34039613627136.

The previous prime is 102120011012093. The next prime is 102120011012177. The reversal of 102120011012112 is 211210110021201.

It is a happy number.

It is a super-2 number, since 2×102120011012112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120011012091 and 102120011012100.

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, 7940893 + ... + 16349244.

Almost surely, 2^{102120011012112} is an apocalyptic number.

102120011012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120011012112 is an abundant number, since it is smaller than the sum of its proper divisors (161693040273744).

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

102120011012112 is a wasteful number, since it uses less digits than its factorization.

102120011012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377735 (or 24377729 counting only the distinct ones).

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

Adding to 102120011012112 its reverse (211210110021201), we get a palindrome (313330121033313).

The spelling of 102120011012112 in words is "one hundred two trillion, one hundred twenty billion, eleven million, twelve thousand, one hundred twelve".