100221032101 has 2 divisors, whose sum is σ = 100221032102. Its totient is φ = 100221032100.

The previous prime is 100221032081. The next prime is 100221032113. The reversal of 100221032101 is 101230122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62324623201 + 37896408900 = 249649^2 + 194670^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221032101 - 2⁷ = 100221031973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221032141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110516050 + 50110516051.

It is an arithmetic number, because the mean of its divisors is an integer number (50110516051).

Almost surely, 2^100221032101 is an apocalyptic number.

It is an amenable number.

100221032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221032101 is an equidigital number, since it uses as much as digits as its factorization.

100221032101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100221032101 its reverse (101230122001), we get a palindrome (201451154102).

The spelling of 100221032101 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, one hundred one".