2102110102021 has 12 divisors (see below), whose sum is σ = 2299878573516. Its totient is φ = 1914635372160.

The previous prime is 2102110102019. The next prime is 2102110102069. The reversal of 2102110102021 is 1202010112012.

It can be written as a sum of positive squares in 2 ways, for example, as 1814691881025 + 287418220996 = 1347105^2 + 536114^2 .

It is not a de Polignac number, because 2102110102021 - 2¹ = 2102110102019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102110101992 and 2102110102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102110102621) 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, 64319530 + ... + 64352203.

It is an arithmetic number, because the mean of its divisors is an integer number (191656547793).

Almost surely, 2^{2102110102021} is an apocalyptic number.

It is an amenable number.

2102110102021 is a deficient number, since it is larger than the sum of its proper divisors (197768471495).

2102110102021 is a wasteful number, since it uses less digits than its factorization.

2102110102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128671812 (or 128671781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102110102021 its reverse (1202010112012), we get a palindrome (3304120214033).

Subtracting from 2102110102021 its reverse (1202010112012), we obtain a palindrome (900099990009).

The spelling of 2102110102021 in words is "two trillion, one hundred two billion, one hundred ten million, one hundred two thousand, twenty-one".