10100120120117 has 2 divisors, whose sum is σ = 10100120120118. Its totient is φ = 10100120120116.

The previous prime is 10100120120047. The next prime is 10100120120227. The reversal of 10100120120117 is 71102102100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6230220673681 + 3869899446436 = 2496041^2 + 1967206^2 .

It is an emirp because it is prime and its reverse (71102102100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100120120117 - 2²⁶ = 10100053011253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100120120095 and 10100120120104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100120120317) 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, 5050060060058 + 5050060060059.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060060059).

Almost surely, 2^{10100120120117} is an apocalyptic number.

It is an amenable number.

10100120120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100120120117 is an equidigital number, since it uses as much as digits as its factorization.

10100120120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10100120120117 its reverse (71102102100101), we get a palindrome (81202222220218).

The spelling of 10100120120117 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred seventeen".