100011020100 has 144 divisors (see below), whose sum is σ = 306641832000. Its totient is φ = 25096158720.

The previous prime is 100011020099. The next prime is 100011020273. The reversal of 100011020100 is 1020110001.

100011020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790422 + ... + 908178.

Almost surely, 2^100011020100 is an apocalyptic number.

100011020100 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 100011020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153320916000).

100011020100 is an abundant number, since it is smaller than the sum of its proper divisors (206630811900).

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

100011020100 is a wasteful number, since it uses less digits than its factorization.

100011020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117942 (or 117935 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100011020100 its reverse (1020110001), we get a palindrome (101031130101).

The spelling of 100011020100 in words is "one hundred billion, eleven million, twenty thousand, one hundred".