2010011122120 has 64 divisors (see below), whose sum is σ = 4788931578480. Its totient is φ = 756650704896.

The previous prime is 2010011122111. The next prime is 2010011122211. The reversal of 2010011122120 is 212211100102.

It can be written as a sum of positive squares in 8 ways, for example, as 1538726126116 + 471284996004 = 1240454^2 + 686502^2 .

It is a super-2 number, since 2×2010011122120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010011122120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9095982 + ... + 9314338.

Almost surely, 2^{2010011122120} is an apocalyptic number.

2010011122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010011122120 is an abundant number, since it is smaller than the sum of its proper divisors (2778920456360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010011122120 is a wasteful number, since it uses less digits than its factorization.

2010011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231922 (or 231918 counting only the distinct ones).

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

Adding to 2010011122120 its reverse (212211100102), we get a palindrome (2222222222222).

The spelling of 2010011122120 in words is "two trillion, ten billion, eleven million, one hundred twenty-two thousand, one hundred twenty".