10000100020 has 24 divisors (see below), whose sum is σ = 21027409704. Its totient is φ = 3994859136.

The previous prime is 10000100003. The next prime is 10000100023. The reversal of 10000100020 is 2000100001.

It can be written as a sum of positive squares in 4 ways, for example, as 125305636 + 9874794384 = 11194^2 + 99372^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a junction number, because it is equal to n+sod(n) for n = 10000099982 and 10000100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307959 + ... + 338878.

It is an arithmetic number, because the mean of its divisors is an integer number (876142071).

Almost surely, 2^10000100020 is an apocalyptic number.

10000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100020 is an abundant number, since it is smaller than the sum of its proper divisors (11027309684).

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

10000100020 is a wasteful number, since it uses less digits than its factorization.

10000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647619 (or 647617 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 10000100020 its reverse (2000100001), we get a palindrome (12000200021).

The spelling of 10000100020 in words is "ten billion, one hundred thousand, twenty".