100011013020 has 144 divisors (see below), whose sum is σ = 304916451840. Its totient is φ = 26533718400.

The previous prime is 100011012863. The next prime is 100011013043. The reversal of 100011013020 is 20310110001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100011012993 and 100011013011.

It is a congruent number.

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, 36889465 + ... + 36892175.

It is an arithmetic number, because the mean of its divisors is an integer number (2117475360).

Almost surely, 2^100011013020 is an apocalyptic number.

100011013020 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 100011013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152458225920).

100011013020 is an abundant number, since it is smaller than the sum of its proper divisors (204905438820).

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

100011013020 is a wasteful number, since it uses less digits than its factorization.

100011013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100011013020 its reverse (20310110001), we get a palindrome (120321123021).

The spelling of 100011013020 in words is "one hundred billion, eleven million, thirteen thousand, twenty".