100010122020 has 72 divisors (see below), whose sum is σ = 303393065976. Its totient is φ = 26666813952.

The previous prime is 100010122019. The next prime is 100010122033. The reversal of 100010122020 is 20221010001.

It can be written as a sum of positive squares in 4 ways, for example, as 9350116416 + 90660005604 = 96696^2 + 301098^2 .

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 = 100010121993 and 100010122011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553304 + ... + 2592176.

It is an arithmetic number, because the mean of its divisors is an integer number (4213792583).

Almost surely, 2^100010122020 is an apocalyptic number.

100010122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010122020 is an abundant number, since it is smaller than the sum of its proper divisors (203382943956).

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

100010122020 is a wasteful number, since it uses less digits than its factorization.

100010122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53181 (or 53176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100010122020 its reverse (20221010001), we get a palindrome (120231132021).

It can be divided in two parts, 1000101 and 22020, that added together give a square (1022121 = 1011²).

The spelling of 100010122020 in words is "one hundred billion, ten million, one hundred twenty-two thousand, twenty".