100112001300 has 144 divisors (see below), whose sum is σ = 338780747200. Its totient is φ = 25291440000.

The previous prime is 100112001293. The next prime is 100112001323. The reversal of 100112001300 is 3100211001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 924451 + ... + 1027050.

Almost surely, 2^100112001300 is an apocalyptic number.

100112001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112001300 is an abundant number, since it is smaller than the sum of its proper divisors (238668745900).

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

100112001300 is a wasteful number, since it uses less digits than its factorization.

100112001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951543 (or 1951530 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100112001300 its reverse (3100211001), we get a palindrome (103212212301).

The spelling of 100112001300 in words is "one hundred billion, one hundred twelve million, one thousand, three hundred".