100100100100 has 288 divisors, whose sum is σ = 294565646592. Its totient is φ = 28512000000.

The previous prime is 100100100059. The next prime is 100100100103. The reversal of 100100100100 is 1001001001.

It is a Harshad number since it is a multiple of its sum of digits (4).

100100100100 is a modest number, since divided by 100100100 gives 100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100100.

It is not an unprimeable number, because it can be changed into a prime (100100100103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10105150 + ... + 10115050.

It is an arithmetic number, because the mean of its divisors is an integer number (1022797384).

Almost surely, 2^100100100100 is an apocalyptic number.

100100100100 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 100100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147282823296).

100100100100 is an abundant number, since it is smaller than the sum of its proper divisors (194465546492).

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

100100100100 is a wasteful number, since it uses less digits than its factorization.

100100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100100100100 its reverse (1001001001), we get a palindrome (101101101101).

Subtracting from 100100100100 its reverse (1001001001), we obtain a palindrome (99099099099).

100100100100 divided by its reverse (1001001001) gives a square (100 = 10²).

The spelling of 100100100100 in words is "one hundred billion, one hundred million, one hundred thousand, one hundred".