100100110002112 has 112 divisors (see below), whose sum is σ = 226236645856512. Its totient is φ = 43498462740480.

The previous prime is 100100110002071. The next prime is 100100110002121. The reversal of 100100110002112 is 211200011001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28574848 + ... + 31886080.

Almost surely, 2^{100100110002112} 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 100100110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113118322928256).

100100110002112 is an abundant number, since it is smaller than the sum of its proper divisors (126136535854400).

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

100100110002112 is a wasteful number, since it uses less digits than its factorization.

100100110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313146 (or 3313136 counting only the distinct ones).

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

Adding to 100100110002112 its reverse (211200011001001), we get a palindrome (311300121003113).

The spelling of 100100110002112 in words is "one hundred trillion, one hundred billion, one hundred ten million, two thousand, one hundred twelve".