100033121202020 has 48 divisors (see below), whose sum is σ = 213527522249328. Its totient is φ = 39354675240960.

The previous prime is 100033121202017. The next prime is 100033121202041. The reversal of 100033121202020 is 20202121330001.

It can be written as a sum of positive squares in 8 ways, for example, as 16885458892864 + 83147662309156 = 4109192^2 + 9118534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100033121202020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15669152 + ... + 21108968.

It is an arithmetic number, because the mean of its divisors is an integer number (4448490046861).

Almost surely, 2^{100033121202020} is an apocalyptic number.

100033121202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100033121202020 is an abundant number, since it is smaller than the sum of its proper divisors (113494401047308).

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

100033121202020 is a wasteful number, since it uses less digits than its factorization.

100033121202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454960 (or 5454958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100033121202020 its reverse (20202121330001), we get a palindrome (120235242532021).

The spelling of 100033121202020 in words is "one hundred trillion, thirty-three billion, one hundred twenty-one million, two hundred two thousand, twenty".