100201112020 has 24 divisors (see below), whose sum is σ = 222800120424. Its totient is φ = 37722771456.

The previous prime is 100201111987. The next prime is 100201112051. The reversal of 100201112020 is 20211102001.

It can be written as a sum of positive squares in 4 ways, for example, as 9692796304 + 90508315716 = 98452^2 + 300846^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100201111988 and 100201112006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 147354237 + ... + 147354916.

It is an arithmetic number, because the mean of its divisors is an integer number (9283338351).

Almost surely, 2^100201112020 is an apocalyptic number.

100201112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201112020 is an abundant number, since it is smaller than the sum of its proper divisors (122599008404).

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

100201112020 is a wasteful number, since it uses less digits than its factorization.

100201112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294709179 (or 294709177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201112020 its reverse (20211102001), we get a palindrome (120412214021).

The spelling of 100201112020 in words is "one hundred billion, two hundred one million, one hundred twelve thousand, twenty".