102202022200100 has 18 divisors (see below), whose sum is σ = 221778388174434. Its totient is φ = 40880808880000.

The previous prime is 102202022199997. The next prime is 102202022200123. The reversal of 102202022200100 is 1002220202201.

It can be written as a sum of positive squares in 3 ways, for example, as 22109905636 + 102179912294464 = 148694^2 + 10108408^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 511010110901 + ... + 511010111100.

Almost surely, 2^{102202022200100} is an apocalyptic number.

102202022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202022200100 is an abundant number, since it is smaller than the sum of its proper divisors (119576365974334).

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

102202022200100 is a wasteful number, since it uses less digits than its factorization.

102202022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022020222015 (or 1022020222008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202022200100 its reverse (1002220202201), we get a palindrome (103204242402301).

The spelling of 102202022200100 in words is "one hundred two trillion, two hundred two billion, twenty-two million, two hundred thousand, one hundred".