100221101202121 has 2 divisors, whose sum is σ = 100221101202122. Its totient is φ = 100221101202120.

The previous prime is 100221101202113. The next prime is 100221101202161. The reversal of 100221101202121 is 121202101122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85009580164096 + 15211521038025 = 9220064^2 + 3900195^2 .

It is an emirp because it is prime and its reverse (121202101122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221101202121 - 2³ = 100221101202113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221101202095 and 100221101202104.

It is not a weakly prime, because it can be changed into another prime (100221101202161) 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 as a sum of consecutive naturals, namely, 50110550601060 + 50110550601061.

It is an arithmetic number, because the mean of its divisors is an integer number (50110550601061).

Almost surely, 2^{100221101202121} is an apocalyptic number.

It is an amenable number.

100221101202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221101202121 is an equidigital number, since it uses as much as digits as its factorization.

100221101202121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221101202121 its reverse (121202101122001), we get a palindrome (221423202324122).

The spelling of 100221101202121 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, two hundred two thousand, one hundred twenty-one".