2100102001021 has 16 divisors (see below), whose sum is σ = 2165350247424. Its totient is φ = 2035872843264.

The previous prime is 2100102001003. The next prime is 2100102001057. The reversal of 2100102001021 is 1201002010012.

It is a cyclic number.

It is not a de Polignac number, because 2100102001021 - 2¹⁷ = 2100101869949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100102000989 and 2100102001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100102001061) 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, 2784096 + ... + 3457078.

It is an arithmetic number, because the mean of its divisors is an integer number (135334390464).

Almost surely, 2^{2100102001021} is an apocalyptic number.

It is an amenable number.

2100102001021 is a deficient number, since it is larger than the sum of its proper divisors (65248246403).

2100102001021 is an equidigital number, since it uses as much as digits as its factorization.

2100102001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673740.

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

Adding to 2100102001021 its reverse (1201002010012), we get a palindrome (3301104011033).

The spelling of 2100102001021 in words is "two trillion, one hundred billion, one hundred two million, one thousand, twenty-one".