2010122211120 has 40 divisors (see below), whose sum is σ = 6231378855216. Its totient is φ = 536032589568.

The previous prime is 2010122211109. The next prime is 2010122211179. The reversal of 2010122211120 is 211122210102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010122211120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4187754367 + ... + 4187754846.

Almost surely, 2^{2010122211120} is an apocalyptic number.

2010122211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010122211120 is an abundant number, since it is smaller than the sum of its proper divisors (4221256644096).

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

2010122211120 is a wasteful number, since it uses less digits than its factorization.

2010122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375509229 (or 8375509223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2010122211120 its reverse (211122210102), we get a palindrome (2221244421222).

The spelling of 2010122211120 in words is "two trillion, ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".