100221000200220 has 96 divisors (see below), whose sum is σ = 282835971145728. Its totient is φ = 26514452224512.

The previous prime is 100221000200179. The next prime is 100221000200267. The reversal of 100221000200220 is 22002000122001.

It is a super-2 number, since 2×100221000200220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100221000200196 and 100221000200205.

It is a congruent number.

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, 323413192 + ... + 323722928.

It is an arithmetic number, because the mean of its divisors is an integer number (2946208032768).

Almost surely, 2^{100221000200220} is an apocalyptic number.

100221000200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221000200220 is an abundant number, since it is smaller than the sum of its proper divisors (182614970945508).

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

100221000200220 is a wasteful number, since it uses less digits than its factorization.

100221000200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352339 (or 352337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100221000200220 its reverse (22002000122001), we get a palindrome (122223000322221).

The spelling of 100221000200220 in words is "one hundred trillion, two hundred twenty-one billion, two hundred thousand, two hundred twenty".