10100582461 has 2 divisors, whose sum is σ = 10100582462. Its totient is φ = 10100582460.

The previous prime is 10100582407. The next prime is 10100582477. The reversal of 10100582461 is 16428500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9978811236 + 121771225 = 99894^2 + 11035^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100582461 - 2³³ = 1510647869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100582491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050291230 + 5050291231.

It is an arithmetic number, because the mean of its divisors is an integer number (5050291231).

Almost surely, 2^10100582461 is an apocalyptic number.

It is an amenable number.

10100582461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100582461 is an equidigital number, since it uses as much as digits as its factorization.

10100582461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 10100582461 in words is "ten billion, one hundred million, five hundred eighty-two thousand, four hundred sixty-one".