101322253990409 has 2 divisors, whose sum is σ = 101322253990410. Its totient is φ = 101322253990408.

The previous prime is 101322253990381. The next prime is 101322253990417. The reversal of 101322253990409 is 904099352223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57073189902400 + 44249064088009 = 7554680^2 + 6651997^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322253990409 - 2²⁴ = 101322237213193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101322253992409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661126995204 + 50661126995205.

It is an arithmetic number, because the mean of its divisors is an integer number (50661126995205).

Almost surely, 2^{101322253990409} is an apocalyptic number.

It is an amenable number.

101322253990409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322253990409 is an equidigital number, since it uses as much as digits as its factorization.

101322253990409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 101322253990409 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred fifty-three million, nine hundred ninety thousand, four hundred nine".