100110212002112 has 28 divisors (see below), whose sum is σ = 213937448246676. Its totient is φ = 46204713231360.

The previous prime is 100110212002111. The next prime is 100110212002139. The reversal of 100110212002112 is 211200212011001.

It can be written as a sum of positive squares in 2 ways, for example, as 30640387461376 + 69469824540736 = 5535376^2 + 8334856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110212002111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60162386189 + ... + 60162387852.

It is an arithmetic number, because the mean of its divisors is an integer number (7640623151667).

Almost surely, 2^{100110212002112} is an apocalyptic number.

It is an amenable number.

100110212002112 is an abundant number, since it is smaller than the sum of its proper divisors (113827236244564).

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

100110212002112 is a wasteful number, since it uses less digits than its factorization.

100110212002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120324774066 (or 120324774056 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100110212002112 its reverse (211200212011001), we get a palindrome (311310424013113).

The spelling of 100110212002112 in words is "one hundred trillion, one hundred ten billion, two hundred twelve million, two thousand, one hundred twelve".