100112012102200 has 96 divisors (see below), whose sum is σ = 271440732708000. Its totient is φ = 34324118411520.

The previous prime is 100112012102197. The next prime is 100112012102209. The reversal of 100112012102200 is 2201210211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112012102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729610789 + ... + 729747988.

It is an arithmetic number, because the mean of its divisors is an integer number (2827507632375).

Almost surely, 2^{100112012102200} is an apocalyptic number.

100112012102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112012102200 is an abundant number, since it is smaller than the sum of its proper divisors (171328720605800).

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

100112012102200 is a wasteful number, since it uses less digits than its factorization.

100112012102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459358814 (or 1459358791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112012102200 its reverse (2201210211001), we get a palindrome (102313222313201).

The spelling of 100112012102200 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred two thousand, two hundred".