100100000101112 has 32 divisors (see below), whose sum is σ = 206777227950000. Its totient is φ = 45049504992000.

The previous prime is 100100000101091. The next prime is 100100000101117. The reversal of 100100000101112 is 211101000001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100100000101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000101117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5631179237 + ... + 5631197012.

Almost surely, 2^{100100000101112} is an apocalyptic number.

It is an amenable number.

100100000101112 is an abundant number, since it is smaller than the sum of its proper divisors (106677227848888).

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

100100000101112 is a wasteful number, since it uses less digits than its factorization.

100100000101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262376367 (or 11262376363 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100000101112 its reverse (211101000001001), we get a palindrome (311201000102113).

The spelling of 100100000101112 in words is "one hundred trillion, one hundred billion, one hundred one thousand, one hundred twelve".