102022200002112 has 112 divisors (see below), whose sum is σ = 290721400849152. Its totient is φ = 31388905267200.

The previous prime is 102022200002087. The next prime is 102022200002119. The reversal of 102022200002112 is 211200002220201.

It is a junction number, because it is equal to n+sod(n) for n = 102022200002091 and 102022200002100.

It is not an unprimeable number, because it can be changed into a prime (102022200002119) 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 15 ways as a sum of consecutive naturals, for example, 29304873 + ... + 32600919.

It is an arithmetic number, because the mean of its divisors is an integer number (2595726793296).

Almost surely, 2^{102022200002112} is an apocalyptic number.

102022200002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022200002112 is an abundant number, since it is smaller than the sum of its proper divisors (188699200847040).

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

102022200002112 is a wasteful number, since it uses less digits than its factorization.

102022200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308476 (or 3308466 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022200002112 its reverse (211200002220201), we get a palindrome (313222202222313).

The spelling of 102022200002112 in words is "one hundred two trillion, twenty-two billion, two hundred million, two thousand, one hundred twelve".