10100381875009 has 2 divisors, whose sum is σ = 10100381875010. Its totient is φ = 10100381875008.

The previous prime is 10100381874997. The next prime is 10100381875027. The reversal of 10100381875009 is 90057818300101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9909255522609 + 191126352400 = 3147897^2 + 437180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100381875009 - 2²¹ = 10100379777857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100381875099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050190937504 + 5050190937505.

It is an arithmetic number, because the mean of its divisors is an integer number (5050190937505).

Almost surely, 2^{10100381875009} is an apocalyptic number.

It is an amenable number.

10100381875009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100381875009 is an equidigital number, since it uses as much as digits as its factorization.

10100381875009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 43.

The spelling of 10100381875009 in words is "ten trillion, one hundred billion, three hundred eighty-one million, eight hundred seventy-five thousand, nine".