100111313100 has 144 divisors (see below), whose sum is σ = 295982618400. Its totient is φ = 26116147200.

The previous prime is 100111313059. The next prime is 100111313129. The reversal of 100111313100 is 1313111001.

It is a super-2 number, since 2×100111313100² (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 47 ways as a sum of consecutive naturals, for example, 5540080 + ... + 5558120.

It is an arithmetic number, because the mean of its divisors is an integer number (2055434850).

Almost surely, 2^100111313100 is an apocalyptic number.

100111313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147991309200).

100111313100 is an abundant number, since it is smaller than the sum of its proper divisors (195871305300).

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

100111313100 is a wasteful number, since it uses less digits than its factorization.

100111313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18460 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 100111313100 its reverse (1313111001), we get a palindrome (101424424101).

The spelling of 100111313100 in words is "one hundred billion, one hundred eleven million, three hundred thirteen thousand, one hundred".