102200220102020 has 24 divisors (see below), whose sum is σ = 227245195286424. Its totient is φ = 38475376979456.

The previous prime is 102200220101989. The next prime is 102200220102049. The reversal of 102200220102020 is 20201022002201.

It can be written as a sum of positive squares in 4 ways, for example, as 53773123656256 + 48427096445764 = 7333016^2 + 6958958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102200220101986 and 102200220102004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150294440987 + ... + 150294441666.

It is an arithmetic number, because the mean of its divisors is an integer number (9468549803601).

Almost surely, 2^{102200220102020} is an apocalyptic number.

102200220102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200220102020 is an abundant number, since it is smaller than the sum of its proper divisors (125044975184404).

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

102200220102020 is a wasteful number, since it uses less digits than its factorization.

102200220102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300588882679 (or 300588882677 counting only the distinct ones).

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

Adding to 102200220102020 its reverse (20201022002201), we get a palindrome (122401242104221).

The spelling of 102200220102020 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, one hundred two thousand, twenty".