100110100200112 has 160 divisors (see below), whose sum is σ = 207553523724288. Its totient is φ = 46613464547328.

The previous prime is 100110100200079. The next prime is 100110100200167. The reversal of 100110100200112 is 211002001011001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15253706943 + ... + 15253713505.

Almost surely, 2^{100110100200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110100200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103776761862144).

100110100200112 is an abundant number, since it is smaller than the sum of its proper divisors (107443423524176).

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

100110100200112 is a wasteful number, since it uses less digits than its factorization.

100110100200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110100200112 its reverse (211002001011001), we get a palindrome (311112101211113).

The spelling of 100110100200112 in words is "one hundred trillion, one hundred ten billion, one hundred million, two hundred thousand, one hundred twelve".