101373101 has 2 divisors, whose sum is σ = 101373102. Its totient is φ = 101373100.

The previous prime is 101373089. The next prime is 101373109.

101373101 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59136100 + 42237001 = 7690^2 + 6499^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101373101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101373101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101373109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50686550 + 50686551.

It is an arithmetic number, because the mean of its divisors is an integer number (50686551).

Almost surely, 2^101373101 is an apocalyptic number.

It is an amenable number.

101373101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101373101 is an equidigital number, since it uses as much as digits as its factorization.

101373101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 101373101 is about 10068.4209784852. The cubic root of 101373101 is about 466.2736899750.

The spelling of 101373101 in words is "one hundred one million, three hundred seventy-three thousand, one hundred one".