10010202102001 has 16 divisors (see below), whose sum is σ = 10128639011328. Its totient is φ = 9892162368000.

The previous prime is 10010202101989. The next prime is 10010202102023. The reversal of 10010202102001 is 10020120201001.

It is a cyclic number.

It is not a de Polignac number, because 10010202102001 - 2²⁵ = 10010168547569 is a prime.

It is a super-2 number, since 2×10010202102001² (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 (10010202102031) 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, 112357665 + ... + 112446721.

It is an arithmetic number, because the mean of its divisors is an integer number (633039938208).

Almost surely, 2^{10010202102001} is an apocalyptic number.

It is an amenable number.

10010202102001 is a deficient number, since it is larger than the sum of its proper divisors (118436909327).

10010202102001 is a wasteful number, since it uses less digits than its factorization.

10010202102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91272.

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

Adding to 10010202102001 its reverse (10020120201001), we get a palindrome (20030322303002).

The spelling of 10010202102001 in words is "ten trillion, ten billion, two hundred two million, one hundred two thousand, one".