100101320101 has 2 divisors, whose sum is σ = 100101320102. Its totient is φ = 100101320100.

The previous prime is 100101320093. The next prime is 100101320129. The reversal of 100101320101 is 101023101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92675189476 + 7426130625 = 304426^2 + 86175^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101320101 - 2³ = 100101320093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101320141) 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, 50050660050 + 50050660051.

It is an arithmetic number, because the mean of its divisors is an integer number (50050660051).

Almost surely, 2^100101320101 is an apocalyptic number.

It is an amenable number.

100101320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101320101 is an equidigital number, since it uses as much as digits as its factorization.

100101320101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100101320101 its reverse (101023101001), we get a palindrome (201124421102).

The spelling of 100101320101 in words is "one hundred billion, one hundred one million, three hundred twenty thousand, one hundred one".