102203032202100 has 108 divisors (see below), whose sum is σ = 320361321294924. Its totient is φ = 27253155479040.

The previous prime is 102203032202081. The next prime is 102203032202111. The reversal of 102203032202100 is 1202230302201.

102203032202100 is a `hidden beast` number, since 10 + 220 + 3 + 0 + 3 + 220 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20348236853604 + 81854795348496 = 4510902^2 + 9047364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22994122 + ... + 27076478.

Almost surely, 2^{102203032202100} is an apocalyptic number.

102203032202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102203032202100 is an abundant number, since it is smaller than the sum of its proper divisors (218158289092824).

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

102203032202100 is a wasteful number, since it uses less digits than its factorization.

102203032202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110194 (or 4110184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102203032202100 its reverse (1202230302201), we get a palindrome (103405262504301).

The spelling of 102203032202100 in words is "one hundred two trillion, two hundred three billion, thirty-two million, two hundred two thousand, one hundred".