21116106071120 has 40 divisors (see below), whose sum is σ = 49096089256320. Its totient is φ = 8446245845120.

The previous prime is 21116106071089. The next prime is 21116106071173. The reversal of 21116106071120 is 2117060161112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411701 + ... + 6511659.

It is an arithmetic number, because the mean of its divisors is an integer number (1227402231408).

Almost surely, 2^{21116106071120} is an apocalyptic number.

21116106071120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21116106071120 is an abundant number, since it is smaller than the sum of its proper divisors (27979983185200).

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

21116106071120 is a wasteful number, since it uses less digits than its factorization.

21116106071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143243 (or 6143237 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The spelling of 21116106071120 in words is "twenty-one trillion, one hundred sixteen billion, one hundred six million, seventy-one thousand, one hundred twenty".