112011210112100 has 144 divisors (see below), whose sum is σ = 266068648547856. Its totient is φ = 40677555456000.

The previous prime is 112011210112097. The next prime is 112011210112127. The reversal of 112011210112100 is 1211012110211.

It can be written as a sum of positive squares in 24 ways, for example, as 107071045980196 + 4940164131904 = 10347514^2 + 2222648^2 .

It is a super-2 number, since 2×112011210112100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1825534622 + ... + 1825595978.

It is an arithmetic number, because the mean of its divisors is an integer number (1847698948249).

Almost surely, 2^{112011210112100} is an apocalyptic number.

112011210112100 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 112011210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133034324273928).

112011210112100 is an abundant number, since it is smaller than the sum of its proper divisors (154057438435756).

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

112011210112100 is a wasteful number, since it uses less digits than its factorization.

112011210112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84466 (or 84459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112011210112100 its reverse (1211012110211), we get a palindrome (113222222222311).

The spelling of 112011210112100 in words is "one hundred twelve trillion, eleven billion, two hundred ten million, one hundred twelve thousand, one hundred".