2120110010221 has 64 divisors (see below), whose sum is σ = 2584313856000. Its totient is φ = 1736533814400.

The previous prime is 2120110010203. The next prime is 2120110010261. The reversal of 2120110010221 is 1220100110212.

It is not a de Polignac number, because 2120110010221 - 2⁵ = 2120110010189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120110010261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1392060966 + ... + 1392062488.

It is an arithmetic number, because the mean of its divisors is an integer number (40379904000).

Almost surely, 2^{2120110010221} is an apocalyptic number.

It is an amenable number.

2120110010221 is a deficient number, since it is larger than the sum of its proper divisors (464203845779).

2120110010221 is a wasteful number, since it uses less digits than its factorization.

2120110010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3121 counting only the distinct ones).

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

Adding to 2120110010221 its reverse (1220100110212), we get a palindrome (3340210120433).

Subtracting from 2120110010221 its reverse (1220100110212), we obtain a palindrome (900009900009).

The spelling of 2120110010221 in words is "two trillion, one hundred twenty billion, one hundred ten million, ten thousand, two hundred twenty-one".