100555101100 has 72 divisors (see below), whose sum is σ = 220755870720. Its totient is φ = 39753510720.

The previous prime is 100555101043. The next prime is 100555101203. The reversal of 100555101100 is 1101555001.

It is a happy number.

It is a super-2 number, since 2×100555101100² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4686597 + ... + 4708003.

It is an arithmetic number, because the mean of its divisors is an integer number (3066053760).

Almost surely, 2^100555101100 is an apocalyptic number.

100555101100 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 100555101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110377935360).

100555101100 is an abundant number, since it is smaller than the sum of its proper divisors (120200769620).

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

100555101100 is a wasteful number, since it uses less digits than its factorization.

100555101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21967 (or 21960 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 100555101100 its reverse (1101555001), we get a palindrome (101656656101).

The spelling of 100555101100 in words is "one hundred billion, five hundred fifty-five million, one hundred one thousand, one hundred".