112100000101100 has 288 divisors, whose sum is σ = 270731089601280. Its totient is φ = 39949303680000.

The previous prime is 112100000101021. The next prime is 112100000101127. The reversal of 112100000101100 is 1101000001211.

It is a happy 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, 13599413579 + ... + 13599421821.

It is an arithmetic number, because the mean of its divisors is an integer number (940038505560).

Almost surely, 2^{112100000101100} is an apocalyptic number.

112100000101100 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 112100000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135365544800640).

112100000101100 is an abundant number, since it is smaller than the sum of its proper divisors (158631089500180).

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

112100000101100 is a wasteful number, since it uses less digits than its factorization.

112100000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601 (or 9594 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 112100000101100 its reverse (1101000001211), we get a palindrome (113201000102311).

The spelling of 112100000101100 in words is "one hundred twelve trillion, one hundred billion, one hundred one thousand, one hundred".