2000100210021 has 12 divisors (see below), whose sum is σ = 2967115627372. Its totient is φ = 1297362298176.

The previous prime is 2000100209923. The next prime is 2000100210079. The reversal of 2000100210021 is 1200120010002.

It can be written as a sum of positive squares in 2 ways, for example, as 1123229030625 + 876871179396 = 1059825^2 + 936414^2 .

It is not a de Polignac number, because 2000100210021 - 2²⁷ = 1999965992293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000100209985 and 2000100210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000100210821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3003153136 + ... + 3003153801.

Almost surely, 2^{2000100210021} is an apocalyptic number.

It is an amenable number.

2000100210021 is a deficient number, since it is larger than the sum of its proper divisors (967015417351).

2000100210021 is a wasteful number, since it uses less digits than its factorization.

2000100210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006306980 (or 6006306977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000100210021 its reverse (1200120010002), we get a palindrome (3200220220023).

The spelling of 2000100210021 in words is "two trillion, one hundred million, two hundred ten thousand, twenty-one".