100221002000220 has 24 divisors (see below), whose sum is σ = 280618805600784. Its totient is φ = 26725600533376.

The previous prime is 100221002000149. The next prime is 100221002000227. The reversal of 100221002000220 is 22000200122001.

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 = 100221002000196 and 100221002000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221002000227) 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 7 ways as a sum of consecutive naturals, for example, 835175016609 + ... + 835175016728.

It is an arithmetic number, because the mean of its divisors is an integer number (11692450233366).

Almost surely, 2^{100221002000220} is an apocalyptic number.

100221002000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221002000220 is an abundant number, since it is smaller than the sum of its proper divisors (180397803600564).

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

100221002000220 is a wasteful number, since it uses less digits than its factorization.

100221002000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670350033349 (or 1670350033347 counting only the distinct ones).

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

Adding to 100221002000220 its reverse (22000200122001), we get a palindrome (122221202122221).

The spelling of 100221002000220 in words is "one hundred trillion, two hundred twenty-one billion, two million, two hundred twenty", and thus it is an aban number.