100110005100 has 108 divisors (see below), whose sum is σ = 358616307504. Its totient is φ = 22882285440.

The previous prime is 100110005087. The next prime is 100110005111. The reversal of 100110005100 is 1500011001.

It is a super-2 number, since 2×100110005100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7938939 + ... + 7951538.

Almost surely, 2^100110005100 is an apocalyptic number.

100110005100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110005100 is an abundant number, since it is smaller than the sum of its proper divisors (258506302404).

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

100110005100 is a wasteful number, since it uses less digits than its factorization.

100110005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15890504 (or 15890494 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100110005100 its reverse (1500011001), we get a palindrome (101610016101).

It can be divided in two parts, 1001 and 10005100, that added together give a triangular number (10006101 = T₄₄₇₃).

The spelling of 100110005100 in words is "one hundred billion, one hundred ten million, five thousand, one hundred".