100121002221101 has 2 divisors, whose sum is σ = 100121002221102. Its totient is φ = 100121002221100.

The previous prime is 100121002221049. The next prime is 100121002221133. The reversal of 100121002221101 is 101122200121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65877556017001 + 34243446204100 = 8116499^2 + 5851790^2 .

It is an emirp because it is prime and its reverse (101122200121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121002221101 - 2¹⁰ = 100121002220077 is a prime.

It is a super-2 number, since 2×100121002221101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121002221151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060501110550 + 50060501110551.

It is an arithmetic number, because the mean of its divisors is an integer number (50060501110551).

Almost surely, 2^{100121002221101} is an apocalyptic number.

It is an amenable number.

100121002221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121002221101 is an equidigital number, since it uses as much as digits as its factorization.

100121002221101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121002221101 its reverse (101122200121001), we get a palindrome (201243202342102).

The spelling of 100121002221101 in words is "one hundred trillion, one hundred twenty-one billion, two million, two hundred twenty-one thousand, one hundred one".