100044302200020 has 72 divisors (see below), whose sum is σ = 311669546874504. Its totient is φ = 25957440569088.

The previous prime is 100044302200001. The next prime is 100044302200021. The reversal of 100044302200020 is 20002203440001.

100044302200020 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 443 + 0 + 2 + 200 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24452510722704 + 75591791477316 = 4944948^2 + 8694354^2 .

It is a super-2 number, since 2×100044302200020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100044302199966 and 100044302200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044302200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7510826839 + ... + 7510840158.

Almost surely, 2^{100044302200020} is an apocalyptic number.

100044302200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100044302200020 is an abundant number, since it is smaller than the sum of its proper divisors (211625244674484).

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

100044302200020 is a wasteful number, since it uses less digits than its factorization.

100044302200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021667049 (or 15021667044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100044302200020 its reverse (20002203440001), we get a palindrome (120046505640021).

The spelling of 100044302200020 in words is "one hundred trillion, forty-four billion, three hundred two million, two hundred thousand, twenty".