112100011111110 has 256 divisors, whose sum is σ = 317650573928448. Its totient is φ = 25041240576000.

The previous prime is 112100011111093. The next prime is 112100011111171. The reversal of 112100011111110 is 11111110001211.

It is a super-2 number, since 2×112100011111110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26387722 + ... + 30339938.

It is an arithmetic number, because the mean of its divisors is an integer number (1240822554408).

Almost surely, 2^{112100011111110} is an apocalyptic number.

112100011111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100011111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158825286964224).

112100011111110 is an abundant number, since it is smaller than the sum of its proper divisors (205550562817338).

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

112100011111110 is a wasteful number, since it uses less digits than its factorization.

112100011111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952399.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 112100011111110 its reverse (11111110001211), we get a palindrome (123211121112321).

The spelling of 112100011111110 in words is "one hundred twelve trillion, one hundred billion, eleven million, one hundred eleven thousand, one hundred ten".