100221022222101 has 192 divisors, whose sum is σ = 171373726218240. Its totient is φ = 55818308113920.

The previous prime is 100221022222093. The next prime is 100221022222129. The reversal of 100221022222101 is 101222220122001.

It is a happy number.

100221022222101 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 0 + 222 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 100221022222101 - 2³ = 100221022222093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221022222141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25586166595 + ... + 25586170511.

It is an arithmetic number, because the mean of its divisors is an integer number (892571490720).

Almost surely, 2^{100221022222101} is an apocalyptic number.

100221022222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221022222101 is a deficient number, since it is larger than the sum of its proper divisors (71152703996139).

100221022222101 is a wasteful number, since it uses less digits than its factorization.

100221022222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100221022222101 its reverse (101222220122001), we get a palindrome (201443242344102).

The spelling of 100221022222101 in words is "one hundred trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-two thousand, one hundred one".