100201310112 has 24 divisors (see below), whose sum is σ = 263028439296. Its totient is φ = 33400436672.

The previous prime is 100201310093. The next prime is 100201310141. The reversal of 100201310112 is 211013102001.

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

It is a super-2 number, since 2×100201310112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521881728 + ... + 521881919.

It is an arithmetic number, because the mean of its divisors is an integer number (10959518304).

Almost surely, 2^100201310112 is an apocalyptic number.

100201310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201310112 is an abundant number, since it is smaller than the sum of its proper divisors (162827129184).

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

100201310112 is a wasteful number, since it uses less digits than its factorization.

100201310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043763660 (or 1043763652 counting only the distinct ones).

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

Adding to 100201310112 its reverse (211013102001), we get a palindrome (311214412113).

The spelling of 100201310112 in words is "one hundred billion, two hundred one million, three hundred ten thousand, one hundred twelve".