112110000100100 has 288 divisors, whose sum is σ = 250669548122112. Its totient is φ = 43506892800000.

The previous prime is 112110000100027. The next prime is 112110000100127. The reversal of 112110000100100 is 1001000011211.

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, 174898595780 + ... + 174898596420.

It is an arithmetic number, because the mean of its divisors is an integer number (870380375424).

Almost surely, 2^{112110000100100} is an apocalyptic number.

112110000100100 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 112110000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125334774061056).

112110000100100 is an abundant number, since it is smaller than the sum of its proper divisors (138559548022012).

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

112110000100100 is a wasteful number, since it uses less digits than its factorization.

112110000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1800 counting only the distinct ones).

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

Adding to 112110000100100 its reverse (1001000011211), we get a palindrome (113111000111311).

The spelling of 112110000100100 in words is "one hundred twelve trillion, one hundred ten billion, one hundred thousand, one hundred".