2011100120120 has 64 divisors (see below), whose sum is σ = 5569200342720. Its totient is φ = 636480036864.

The previous prime is 2011100120089. The next prime is 2011100120143. The reversal of 2011100120120 is 210210011102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 276246377 + ... + 276253656.

It is an arithmetic number, because the mean of its divisors is an integer number (87018755355).

Almost surely, 2^{2011100120120} is an apocalyptic number.

2011100120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011100120120 is an abundant number, since it is smaller than the sum of its proper divisors (3558100222600).

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

2011100120120 is a wasteful number, since it uses less digits than its factorization.

2011100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552500064 (or 552500060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011100120120 its reverse (210210011102), we get a palindrome (2221310131222).

The spelling of 2011100120120 in words is "two trillion, eleven billion, one hundred million, one hundred twenty thousand, one hundred twenty".