101406112113409 has 2 divisors, whose sum is σ = 101406112113410. Its totient is φ = 101406112113408.

The previous prime is 101406112113391. The next prime is 101406112113431. The reversal of 101406112113409 is 904311211604101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62175243576384 + 39230868537025 = 7885128^2 + 6263455^2 .

It is a cyclic number.

It is not a de Polignac number, because 101406112113409 - 2⁵ = 101406112113377 is a prime.

It is not a weakly prime, because it can be changed into another prime (101406112113479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50703056056704 + 50703056056705.

It is an arithmetic number, because the mean of its divisors is an integer number (50703056056705).

Almost surely, 2^{101406112113409} is an apocalyptic number.

It is an amenable number.

101406112113409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101406112113409 is an equidigital number, since it uses as much as digits as its factorization.

101406112113409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 101406112113409 in words is "one hundred one trillion, four hundred six billion, one hundred twelve million, one hundred thirteen thousand, four hundred nine".