112002120011100 has 144 divisors (see below), whose sum is σ = 353523269312640. Its totient is φ = 27151733356800.

The previous prime is 112002120011059. The next prime is 112002120011149. The reversal of 112002120011100 is 1110021200211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560434794 + ... + 560634606.

It is an arithmetic number, because the mean of its divisors is an integer number (2455022703560).

Almost surely, 2^{112002120011100} is an apocalyptic number.

112002120011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002120011100 is an abundant number, since it is smaller than the sum of its proper divisors (241521149301540).

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

112002120011100 is a wasteful number, since it uses less digits than its factorization.

112002120011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369700 (or 369693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112002120011100 its reverse (1110021200211), we get a palindrome (113112141211311).

The spelling of 112002120011100 in words is "one hundred twelve trillion, two billion, one hundred twenty million, eleven thousand, one hundred".