10100122008173 has 2 divisors, whose sum is σ = 10100122008174. Its totient is φ = 10100122008172.

The previous prime is 10100122008157. The next prime is 10100122008211. The reversal of 10100122008173 is 37180022100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8465644138084 + 1634477870089 = 2909578^2 + 1278467^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100122008173 - 2⁴ = 10100122008157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100122008773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061004086 + 5050061004087.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061004087).

Almost surely, 2^{10100122008173} is an apocalyptic number.

It is an amenable number.

10100122008173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122008173 is an equidigital number, since it uses as much as digits as its factorization.

10100122008173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 10100122008173 its reverse (37180022100101), we get a palindrome (47280144108274).

The spelling of 10100122008173 in words is "ten trillion, one hundred billion, one hundred twenty-two million, eight thousand, one hundred seventy-three".