10100122112189 has 2 divisors, whose sum is σ = 10100122112190. Its totient is φ = 10100122112188.

The previous prime is 10100122112153. The next prime is 10100122112309. The reversal of 10100122112189 is 98121122100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10009105256089 + 91016856100 = 3163717^2 + 301690^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100122112189 - 2¹² = 10100122108093 is a prime.

It is a super-2 number, since 2×10100122112189² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100122112089) 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, 5050061056094 + 5050061056095.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061056095).

Almost surely, 2^{10100122112189} is an apocalyptic number.

It is an amenable number.

10100122112189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122112189 is an equidigital number, since it uses as much as digits as its factorization.

10100122112189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 10100122112189 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred eighty-nine".