100102721161 has 2 divisors, whose sum is σ = 100102721162. Its totient is φ = 100102721160.

The previous prime is 100102721153. The next prime is 100102721179. The reversal of 100102721161 is 161127201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70649640000 + 29453081161 = 265800^2 + 171619^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102721161 - 2³ = 100102721153 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102721561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051360580 + 50051360581.

It is an arithmetic number, because the mean of its divisors is an integer number (50051360581).

Almost surely, 2^100102721161 is an apocalyptic number.

It is an amenable number.

100102721161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102721161 is an equidigital number, since it uses as much as digits as its factorization.

100102721161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 100102721161 its reverse (161127201001), we get a palindrome (261229922162).

The spelling of 100102721161 in words is "one hundred billion, one hundred two million, seven hundred twenty-one thousand, one hundred sixty-one".