10100122112309 has 2 divisors, whose sum is σ = 10100122112310. Its totient is φ = 10100122112308.

The previous prime is 10100122112189. The next prime is 10100122112369. The reversal of 10100122112309 is 90321122100101.

10100122112309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6027899011684 + 4072223100625 = 2455178^2 + 2017975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100122112309 - 2²⁸ = 10099853676853 is a prime.

It is a super-2 number, since 2×10100122112309² (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 (10100122112369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061056154 + 5050061056155.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061056155).

Almost surely, 2^{10100122112309} is an apocalyptic number.

It is an amenable number.

10100122112309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122112309 is an equidigital number, since it uses as much as digits as its factorization.

10100122112309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10100122112309 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, three hundred nine".