102001000222120 has 32 divisors (see below), whose sum is σ = 230531408593920. Its totient is φ = 40617438649920.

The previous prime is 102001000222117. The next prime is 102001000222123. The reversal of 102001000222120 is 21222000100201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102001000222117) and next prime (102001000222123).

It is a self number, because there is not a number n which added to its sum of digits gives 102001000222120.

It is not an unprimeable number, because it can be changed into a prime (102001000222123) by changing a digit.

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, 5717535936 + ... + 5717553775.

It is an arithmetic number, because the mean of its divisors is an integer number (7204106518560).

Almost surely, 2^{102001000222120} is an apocalyptic number.

102001000222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001000222120 is an abundant number, since it is smaller than the sum of its proper divisors (128530408371800).

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

102001000222120 is a wasteful number, since it uses less digits than its factorization.

102001000222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435089945 (or 11435089941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102001000222120 its reverse (21222000100201), we get a palindrome (123223000322321).

The spelling of 102001000222120 in words is "one hundred two trillion, one billion, two hundred twenty-two thousand, one hundred twenty".