100101001112 has 64 divisors (see below), whose sum is σ = 226822256640. Its totient is φ = 40503916800.

The previous prime is 100101001103. The next prime is 100101001123. The reversal of 100101001112 is 211100101001.

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 100101001112.

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, 632018 + ... + 774369.

It is an arithmetic number, because the mean of its divisors is an integer number (3544097760).

Almost surely, 2^100101001112 is an apocalyptic number.

It is an amenable number.

100101001112 is an abundant number, since it is smaller than the sum of its proper divisors (126721255528).

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

100101001112 is a wasteful number, since it uses less digits than its factorization.

100101001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406472 (or 1406468 counting only the distinct ones).

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

Adding to 100101001112 its reverse (211100101001), we get a palindrome (311201102113).

The spelling of 100101001112 in words is "one hundred billion, one hundred one million, one thousand, one hundred twelve".