100221001012157 has 2 divisors, whose sum is σ = 100221001012158. Its totient is φ = 100221001012156.

The previous prime is 100221001012061. The next prime is 100221001012163. The reversal of 100221001012157 is 751210100122001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65323023694756 + 34897977317401 = 8082266^2 + 5907451^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221001012157 - 2³⁶ = 100152281535421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221001017157) 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, 50110500506078 + 50110500506079.

It is an arithmetic number, because the mean of its divisors is an integer number (50110500506079).

Almost surely, 2^{100221001012157} is an apocalyptic number.

It is an amenable number.

100221001012157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221001012157 is an equidigital number, since it uses as much as digits as its factorization.

100221001012157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 100221001012157 its reverse (751210100122001), we get a palindrome (851431101134158).

The spelling of 100221001012157 in words is "one hundred trillion, two hundred twenty-one billion, one million, twelve thousand, one hundred fifty-seven".