10102102002001 has 16 divisors (see below), whose sum is σ = 10466281418688. Its totient is φ = 9746167032000.

The previous prime is 10102102001989. The next prime is 10102102002011. The reversal of 10102102002001 is 10020020120101.

It is a cyclic number.

It is not a de Polignac number, because 10102102002001 - 2¹⁵ = 10102101969233 is a prime.

It is a super-2 number, since 2×10102102002001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102102002011) 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, 7002855 + ... + 8321308.

It is an arithmetic number, because the mean of its divisors is an integer number (654142588668).

Almost surely, 2^{10102102002001} is an apocalyptic number.

It is an amenable number.

10102102002001 is a deficient number, since it is larger than the sum of its proper divisors (364179416687).

10102102002001 is a wasteful number, since it uses less digits than its factorization.

10102102002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15324432.

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

Adding to 10102102002001 its reverse (10020020120101), we get a palindrome (20122122122102).

The spelling of 10102102002001 in words is "ten trillion, one hundred two billion, one hundred two million, two thousand, one".