100101100020 has 96 divisors (see below), whose sum is σ = 295309228032. Its totient is φ = 25285104768.

The previous prime is 100101100019. The next prime is 100101100027. The reversal of 100101100020 is 20001101001.

100101100020 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 a junction number, because it is equal to n+sod(n) for n = 100101099981 and 100101100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209982 + ... + 494261.

It is an arithmetic number, because the mean of its divisors is an integer number (3076137792).

Almost surely, 2^100101100020 is an apocalyptic number.

100101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101100020 is an abundant number, since it is smaller than the sum of its proper divisors (195208128012).

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

100101100020 is a wasteful number, since it uses less digits than its factorization.

100101100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704381 (or 704379 counting only the distinct ones).

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

Adding to 100101100020 its reverse (20001101001), we get a palindrome (120102201021).

The spelling of 100101100020 in words is "one hundred billion, one hundred one million, one hundred thousand, twenty".