100310112112000 has 128 divisors (see below), whose sum is σ = 285024018876480. Its totient is φ = 34392038400000.

The previous prime is 100310112111997. The next prime is 100310112112009. The reversal of 100310112112000 is 211211013001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310112112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447701001 + ... + 447925000.

Almost surely, 2^{100310112112000} is an apocalyptic number.

100310112112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100310112112000 is an abundant number, since it is smaller than the sum of its proper divisors (184713906764480).

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

100310112112000 is an frugal number, since it uses more digits than its factorization.

100310112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895626037 (or 895626015 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100310112112000 its reverse (211211013001), we get a palindrome (100521323125001).

The spelling of 100310112112000 in words is "one hundred trillion, three hundred ten billion, one hundred twelve million, one hundred twelve thousand".