102201000222120 has 32 divisors (see below), whose sum is σ = 306603000666720. Its totient is φ = 27253600059200.

The previous prime is 102201000222119. The next prime is 102201000222173. The reversal of 102201000222120 is 21222000102201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102201000222120.

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 7 ways as a sum of consecutive naturals, for example, 425837500806 + ... + 425837501045.

It is an arithmetic number, because the mean of its divisors is an integer number (9581343770835).

Almost surely, 2^{102201000222120} is an apocalyptic number.

102201000222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201000222120 is an abundant number, since it is smaller than the sum of its proper divisors (204402000444600).

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

102201000222120 is a wasteful number, since it uses less digits than its factorization.

102201000222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851675001865 (or 851675001861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102201000222120 its reverse (21222000102201), we get a palindrome (123423000324321).

The spelling of 102201000222120 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-two thousand, one hundred twenty".