100111310100 has 378 divisors, whose sum is σ = 336794648190. Its totient is φ = 25817097600.

The previous prime is 100111310077. The next prime is 100111310113. The reversal of 100111310100 is 1013111001.

It can be written as a sum of positive squares in 3 ways, for example, as 11209104 + 100100100996 = 3348^2 + 316386^2 .

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 125 ways as a sum of consecutive naturals, for example, 70056186 + ... + 70057614.

Almost surely, 2^100111310100 is an apocalyptic number.

100111310100 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 100111310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168397324095).

100111310100 is an abundant number, since it is smaller than the sum of its proper divisors (236683338090).

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

100111310100 is a wasteful number, since it uses less digits than its factorization.

100111310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100111310100 its reverse (1013111001), we get a palindrome (101124421101).

The spelling of 100111310100 in words is "one hundred billion, one hundred eleven million, three hundred ten thousand, one hundred".