2100000102021 has 48 divisors (see below), whose sum is σ = 3214098800640. Its totient is φ = 1317572244000.

The previous prime is 2100000101989. The next prime is 2100000102023. The reversal of 2100000102021 is 1202010000012.

It is not a de Polignac number, because 2100000102021 - 2⁵ = 2100000101989 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100000101994 and 2100000102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000102023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16374870 + ... + 16502616.

It is an arithmetic number, because the mean of its divisors is an integer number (66960391680).

Almost surely, 2^{2100000102021} is an apocalyptic number.

It is an amenable number.

2100000102021 is a deficient number, since it is larger than the sum of its proper divisors (1114098698619).

2100000102021 is a wasteful number, since it uses less digits than its factorization.

2100000102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128406 (or 128403 counting only the distinct ones).

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

Adding to 2100000102021 its reverse (1202010000012), we get a palindrome (3302010102033).

The spelling of 2100000102021 in words is "two trillion, one hundred billion, one hundred two thousand, twenty-one".