100221122202020 has 96 divisors (see below), whose sum is σ = 224786466938880. Its totient is φ = 37443024178560.

The previous prime is 100221122201987. The next prime is 100221122202041. The reversal of 100221122202020 is 20202221122001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100221122202020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68726021 + ... + 70169139.

It is an arithmetic number, because the mean of its divisors is an integer number (2341525697280).

Almost surely, 2^{100221122202020} is an apocalyptic number.

100221122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112393233469440).

100221122202020 is an abundant number, since it is smaller than the sum of its proper divisors (124565344736860).

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

100221122202020 is a wasteful number, since it uses less digits than its factorization.

100221122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446705 (or 1446703 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100221122202020 its reverse (20202221122001), we get a palindrome (120423343324021).

The spelling of 100221122202020 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, twenty".