112111022100 has 288 divisors, whose sum is σ = 407105943552. Its totient is φ = 23140800000.

The previous prime is 112111022087. The next prime is 112111022117. The reversal of 112111022100 is 1220111211.

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 95 ways as a sum of consecutive naturals, for example, 3472030 + ... + 3504170.

It is an arithmetic number, because the mean of its divisors is an integer number (1413562304).

Almost surely, 2^112111022100 is an apocalyptic number.

112111022100 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 112111022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203552971776).

112111022100 is an abundant number, since it is smaller than the sum of its proper divisors (294994921452).

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

112111022100 is a wasteful number, since it uses less digits than its factorization.

112111022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32327 (or 32320 counting only the distinct ones).

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

Adding to 112111022100 its reverse (1220111211), we get a palindrome (113331133311).

The spelling of 112111022100 in words is "one hundred twelve billion, one hundred eleven million, twenty-two thousand, one hundred".