2100210102001 has 6 divisors (see below), whose sum is σ = 2308495401506. Its totient is φ = 1909281910800.

The previous prime is 2100210101989. The next prime is 2100210102061. The reversal of 2100210102001 is 1002010120012.

It can be written as a sum of positive squares in only one way, i.e., 1251711202401 + 848498899600 = 1118799^2 + 921140^2 .

It is not a de Polignac number, because 2100210102001 - 2²⁵ = 2100176547569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100210102061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8678554020 + ... + 8678554261.

Almost surely, 2^{2100210102001} is an apocalyptic number.

It is an amenable number.

2100210102001 is a deficient number, since it is larger than the sum of its proper divisors (208285299505).

2100210102001 is a wasteful number, since it uses less digits than its factorization.

2100210102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357108303 (or 17357108292 counting only the distinct ones).

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

Adding to 2100210102001 its reverse (1002010120012), we get a palindrome (3102220222013).

The spelling of 2100210102001 in words is "two trillion, one hundred billion, two hundred ten million, one hundred two thousand, one".