100221212000121 has 24 divisors (see below), whose sum is σ = 137032582626720. Its totient is φ = 65153317582080.

The previous prime is 100221212000017. The next prime is 100221212000123. The reversal of 100221212000121 is 121000212122001.

It is not a de Polignac number, because 100221212000121 - 2²⁷ = 100221077782393 is a prime.

It is a super-3 number, since 3×100221212000121³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100221212000121.

It is not an unprimeable number, because it can be changed into a prime (100221212000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5778166 + ... + 15291488.

It is an arithmetic number, because the mean of its divisors is an integer number (5709690942780).

Almost surely, 2^{100221212000121} is an apocalyptic number.

It is an amenable number.

100221212000121 is a deficient number, since it is larger than the sum of its proper divisors (36811370626599).

100221212000121 is an equidigital number, since it uses as much as digits as its factorization.

100221212000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515497 (or 9515456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100221212000121 its reverse (121000212122001), we get a palindrome (221221424122122).

The spelling of 100221212000121 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-one", and thus it is an aban number.