2120120101021 has 32 divisors (see below), whose sum is σ = 2438317873152. Its totient is φ = 1828386743040.

The previous prime is 2120120101013. The next prime is 2120120101069. The reversal of 2120120101021 is 1201010210212.

It is not a de Polignac number, because 2120120101021 - 2³ = 2120120101013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120120100992 and 2120120101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120120101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3233911 + ... + 3833851.

It is an arithmetic number, because the mean of its divisors is an integer number (76197433536).

Almost surely, 2^{2120120101021} is an apocalyptic number.

It is an amenable number.

2120120101021 is a deficient number, since it is larger than the sum of its proper divisors (318197772131).

2120120101021 is a wasteful number, since it uses less digits than its factorization.

2120120101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600253.

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

Adding to 2120120101021 its reverse (1201010210212), we get a palindrome (3321130311233).

The spelling of 2120120101021 in words is "two trillion, one hundred twenty billion, one hundred twenty million, one hundred one thousand, twenty-one".