112111100100 has 216 divisors, whose sum is σ = 363123091968. Its totient is φ = 28901491200.

The previous prime is 112111100039. The next prime is 112111100147. The reversal of 112111100100 is 1001111211.

112111100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40369912 + ... + 40372688.

Almost surely, 2^112111100100 is an apocalyptic number.

112111100100 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 112111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181561545984).

112111100100 is an abundant number, since it is smaller than the sum of its proper divisors (251011991868).

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

112111100100 is a wasteful number, since it uses less digits than its factorization.

112111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 112111100100 its reverse (1001111211), we get a palindrome (113112211311).

The spelling of 112111100100 in words is "one hundred twelve billion, one hundred eleven million, one hundred thousand, one hundred".