2120031311121 has 48 divisors (see below), whose sum is σ = 3167034142272. Its totient is φ = 1365726096000.

The previous prime is 2120031311063. The next prime is 2120031311147. The reversal of 2120031311121 is 1211131300212.

2120031311121 is a `hidden beast` number, since 2 + 1 + 200 + 31 + 311 + 121 = 666.

It is not a de Polignac number, because 2120031311121 - 2²² = 2120027116817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120031311094 and 2120031311103.

It is not an unprimeable number, because it can be changed into a prime (2120031311191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50440311 + ... + 50482323.

It is an arithmetic number, because the mean of its divisors is an integer number (65979877964).

Almost surely, 2^{2120031311121} is an apocalyptic number.

It is an amenable number.

2120031311121 is a deficient number, since it is larger than the sum of its proper divisors (1047002831151).

2120031311121 is a wasteful number, since it uses less digits than its factorization.

2120031311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43454 (or 43451 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2120031311121 its reverse (1211131300212), we get a palindrome (3331162611333).

The spelling of 2120031311121 in words is "two trillion, one hundred twenty billion, thirty-one million, three hundred eleven thousand, one hundred twenty-one".