10100401051309 has 2 divisors, whose sum is σ = 10100401051310. Its totient is φ = 10100401051308.

The previous prime is 10100401051277. The next prime is 10100401051333. The reversal of 10100401051309 is 90315010400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7620415460100 + 2479985591209 = 2760510^2 + 1574797^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100401051309 - 2⁵ = 10100401051277 is a prime.

It is a super-2 number, since 2×10100401051309² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100402051309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050200525654 + 5050200525655.

It is an arithmetic number, because the mean of its divisors is an integer number (5050200525655).

Almost surely, 2^{10100401051309} is an apocalyptic number.

It is an amenable number.

10100401051309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100401051309 is an equidigital number, since it uses as much as digits as its factorization.

10100401051309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 10100401051309 in words is "ten trillion, one hundred billion, four hundred one million, fifty-one thousand, three hundred nine".