10100610973 has 2 divisors, whose sum is σ = 10100610974. Its totient is φ = 10100610972.

The previous prime is 10100610901. The next prime is 10100611021. The reversal of 10100610973 is 37901600101.

10100610973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9973417689 + 127193284 = 99867^2 + 11278^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100610973 - 2²⁵ = 10067056541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100610073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050305486 + 5050305487.

It is an arithmetic number, because the mean of its divisors is an integer number (5050305487).

Almost surely, 2^10100610973 is an apocalyptic number.

It is an amenable number.

10100610973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100610973 is an equidigital number, since it uses as much as digits as its factorization.

10100610973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 28.

The spelling of 10100610973 in words is "ten billion, one hundred million, six hundred ten thousand, nine hundred seventy-three".