100310112120312 has 24 divisors (see below), whose sum is σ = 271673220326040. Its totient is φ = 33436704040080.

The previous prime is 100310112120199. The next prime is 100310112120349. The reversal of 100310112120312 is 213021211013001.

100310112120312 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 1 + 1 + 21 + 20 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696598000764 + ... + 696598000907.

It is an arithmetic number, because the mean of its divisors is an integer number (11319717513585).

Almost surely, 2^{100310112120312} is an apocalyptic number.

100310112120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100310112120312 is an abundant number, since it is smaller than the sum of its proper divisors (171363108205728).

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

100310112120312 is a wasteful number, since it uses less digits than its factorization.

100310112120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393196001683 (or 1393196001676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100310112120312 its reverse (213021211013001), we get a palindrome (313331323133313).

The spelling of 100310112120312 in words is "one hundred trillion, three hundred ten billion, one hundred twelve million, one hundred twenty thousand, three hundred twelve".