100365020100 has 108 divisors (see below), whose sum is σ = 314949766404. Its totient is φ = 26733277440.

The previous prime is 100365020099. The next prime is 100365020131. The reversal of 100365020100 is 1020563001.

100365020100 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 650 + 2 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 295289856 + 100069730244 = 17184^2 + 316338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 725722 + ... + 852878.

Almost surely, 2^100365020100 is an apocalyptic number.

100365020100 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 100365020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157474883202).

100365020100 is an abundant number, since it is smaller than the sum of its proper divisors (214584746304).

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

100365020100 is a wasteful number, since it uses less digits than its factorization.

100365020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128054 (or 128044 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100365020100 its reverse (1020563001), we get a palindrome (101385583101).

The spelling of 100365020100 in words is "one hundred billion, three hundred sixty-five million, twenty thousand, one hundred".