100010022020 has 24 divisors (see below), whose sum is σ = 210139309464. Its totient is φ = 39981482496.

The previous prime is 100010022019. The next prime is 100010022029. The reversal of 100010022020 is 20220010001.

It can be written as a sum of positive squares in 4 ways, for example, as 6427870276 + 93582151744 = 80174^2 + 305912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100010021989 and 100010022007.

It is not an unprimeable number, because it can be changed into a prime (100010022029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1371467 + ... + 1442546.

It is an arithmetic number, because the mean of its divisors is an integer number (8755804561).

Almost surely, 2^100010022020 is an apocalyptic number.

100010022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010022020 is an abundant number, since it is smaller than the sum of its proper divisors (110129287444).

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

100010022020 is a wasteful number, since it uses less digits than its factorization.

100010022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815799 (or 2815797 counting only the distinct ones).

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

Adding to 100010022020 its reverse (20220010001), we get a palindrome (120230032021).

The spelling of 100010022020 in words is "one hundred billion, ten million, twenty-two thousand, twenty".