101406112113209 has 2 divisors, whose sum is σ = 101406112113210. Its totient is φ = 101406112113208.

The previous prime is 101406112113179. The next prime is 101406112113301. The reversal of 101406112113209 is 902311211604101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70680675552400 + 30725436560809 = 8407180^2 + 5543053^2 .

It is a cyclic number.

It is not a de Polignac number, because 101406112113209 - 2²⁰ = 101406111064633 is a prime.

It is not a weakly prime, because it can be changed into another prime (101406112113409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50703056056604 + 50703056056605.

It is an arithmetic number, because the mean of its divisors is an integer number (50703056056605).

Almost surely, 2^{101406112113209} is an apocalyptic number.

It is an amenable number.

101406112113209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101406112113209 is an equidigital number, since it uses as much as digits as its factorization.

101406112113209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 101406112113209 in words is "one hundred one trillion, four hundred six billion, one hundred twelve million, one hundred thirteen thousand, two hundred nine".