100200110112 has 36 divisors (see below), whose sum is σ = 284944063950. Its totient is φ = 33400036608.

The previous prime is 100200110099. The next prime is 100200110141. The reversal of 100200110112 is 211011002001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54795319056 + 45404791056 = 234084^2 + 213084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100200110094 and 100200110103.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173958237 + ... + 173958812.

Almost surely, 2^100200110112 is an apocalyptic number.

100200110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200110112 is an abundant number, since it is smaller than the sum of its proper divisors (184743953838).

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

100200110112 is a wasteful number, since it uses less digits than its factorization.

100200110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347917065 (or 347917054 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200110112 its reverse (211011002001), we get a palindrome (311211112113).

The spelling of 100200110112 in words is "one hundred billion, two hundred million, one hundred ten thousand, one hundred twelve".