102001122001 has 16 divisors (see below), whose sum is σ = 107331858000. Its totient is φ = 96793804800.

The previous prime is 102001121951. The next prime is 102001122073. The reversal of 102001122001 is 100221100201.

It can be written as a sum of positive squares in 8 ways, for example, as 127803025 + 101873318976 = 11305^2 + 319176^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001122001 - 2²⁷ = 101866904273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001126001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315025 + ... + 2358673.

It is an arithmetic number, because the mean of its divisors is an integer number (6708241125).

Almost surely, 2^102001122001 is an apocalyptic number.

It is an amenable number.

102001122001 is a deficient number, since it is larger than the sum of its proper divisors (5330735999).

102001122001 is a wasteful number, since it uses less digits than its factorization.

102001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45060.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102001122001 its reverse (100221100201), we get a palindrome (202222222202).

The spelling of 102001122001 in words is "one hundred two billion, one million, one hundred twenty-two thousand, one".