102022022101100 has 72 divisors (see below), whose sum is σ = 226105641312768. Its totient is φ = 39939215867200.

The previous prime is 102022022101079. The next prime is 102022022101117. The reversal of 102022022101100 is 1101220220201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148379105 + ... + 149065095.

It is an arithmetic number, because the mean of its divisors is an integer number (3140356129344).

Almost surely, 2^{102022022101100} is an apocalyptic number.

102022022101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022022101100 is an abundant number, since it is smaller than the sum of its proper divisors (124083619211668).

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

102022022101100 is a wasteful number, since it uses less digits than its factorization.

102022022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717695 (or 717688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022022101100 its reverse (1101220220201), we get a palindrome (103123242321301).

The spelling of 102022022101100 in words is "one hundred two trillion, twenty-two billion, twenty-two million, one hundred one thousand, one hundred".