102021220010112 has 96 divisors (see below), whose sum is σ = 293443061809680. Its totient is φ = 31391144598528.

The previous prime is 102021220010089. The next prime is 102021220010117. The reversal of 102021220010112 is 211010022120201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102021220010091 and 102021220010100.

It is not an unprimeable number, because it can be changed into a prime (102021220010117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785971378 + ... + 786101169.

Almost surely, 2^{102021220010112} is an apocalyptic number.

102021220010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021220010112 is an abundant number, since it is smaller than the sum of its proper divisors (191421841799568).

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

102021220010112 is a wasteful number, since it uses less digits than its factorization.

102021220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572072590 (or 1572072565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102021220010112 its reverse (211010022120201), we get a palindrome (313031242130313).

The spelling of 102021220010112 in words is "one hundred two trillion, twenty-one billion, two hundred twenty million, ten thousand, one hundred twelve".