2102000001021 has 6 divisors (see below), whose sum is σ = 3036222223710. Its totient is φ = 1401333334008.

The previous prime is 2102000001001. The next prime is 2102000001047. The reversal of 2102000001021 is 1201000002012.

It can be written as a sum of positive squares in only one way, i.e., 1993712936121 + 108287064900 = 1411989^2 + 329070^2 .

It is not a de Polignac number, because 2102000001021 - 2⁶ = 2102000000957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233555555669 = 2102000001021 / (2 + 1 + 0 + 2 + 0 + 0 + 0 + 0 + 0 + 1 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2102000000994 and 2102000001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000001001) 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, 116777777826 + ... + 116777777843.

It is an arithmetic number, because the mean of its divisors is an integer number (506037037285).

Almost surely, 2^{2102000001021} is an apocalyptic number.

It is an amenable number.

2102000001021 is a deficient number, since it is larger than the sum of its proper divisors (934222222689).

2102000001021 is a wasteful number, since it uses less digits than its factorization.

2102000001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233555555675 (or 233555555672 counting only the distinct ones).

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

Adding to 2102000001021 its reverse (1201000002012), we get a palindrome (3303000003033).

Subtracting from 2102000001021 its reverse (1201000002012), we obtain a palindrome (900999999009).

The spelling of 2102000001021 in words is "two trillion, one hundred two billion, one thousand, twenty-one".