112211111110100 has 72 divisors (see below), whose sum is σ = 245923115413248. Its totient is φ = 44437490128000.

The previous prime is 112211111110069. The next prime is 112211111110129. The reversal of 112211111110100 is 1011111112211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180510017 + ... + 181130583.

It is an arithmetic number, because the mean of its divisors is an integer number (3415598825184).

Almost surely, 2^{112211111110100} is an apocalyptic number.

112211111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122961557706624).

112211111110100 is an abundant number, since it is smaller than the sum of its proper divisors (133712004303148).

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

112211111110100 is a wasteful number, since it uses less digits than its factorization.

112211111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638585 (or 638578 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 112211111110100 its reverse (1011111112211), we get a palindrome (113222222222311).

The spelling of 112211111110100 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred".