100221190111121 has 2 divisors, whose sum is σ = 100221190111122. Its totient is φ = 100221190111120.

The previous prime is 100221190111079. The next prime is 100221190111157. The reversal of 100221190111121 is 121111091122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65497701094225 + 34723489016896 = 8093065^2 + 5892664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221190111121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100221190114121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110595055560 + 50110595055561.

It is an arithmetic number, because the mean of its divisors is an integer number (50110595055561).

Almost surely, 2^{100221190111121} is an apocalyptic number.

It is an amenable number.

100221190111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221190111121 is an equidigital number, since it uses as much as digits as its factorization.

100221190111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 100221190111121 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ninety million, one hundred eleven thousand, one hundred twenty-one".