102200102202020 has 48 divisors (see below), whose sum is σ = 218327249348208. Its totient is φ = 40179847833600.

The previous prime is 102200102202019. The next prime is 102200102202091. The reversal of 102200102202020 is 20202201002201.

It can be written as a sum of positive squares in 8 ways, for example, as 31646385262144 + 70553716939876 = 5625512^2 + 8399626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102200102201986 and 102200102202004.

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 15 ways as a sum of consecutive naturals, for example, 184373297 + ... + 184926776.

It is an arithmetic number, because the mean of its divisors is an integer number (4548484361421).

Almost surely, 2^{102200102202020} is an apocalyptic number.

102200102202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200102202020 is an abundant number, since it is smaller than the sum of its proper divisors (116127147146188).

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

102200102202020 is a wasteful number, since it uses less digits than its factorization.

102200102202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369300320 (or 369300318 counting only the distinct ones).

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

Adding to 102200102202020 its reverse (20202201002201), we get a palindrome (122402303204221).

The spelling of 102200102202020 in words is "one hundred two trillion, two hundred billion, one hundred two million, two hundred two thousand, twenty".