1010120120117 has 2 divisors, whose sum is σ = 1010120120118. Its totient is φ = 1010120120116.

The previous prime is 1010120120099. The next prime is 1010120120137. The reversal of 1010120120117 is 7110210210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 740677111876 + 269443008241 = 860626^2 + 519079^2 .

It is an emirp because it is prime and its reverse (7110210210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010120120117 - 2¹⁰ = 1010120119093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010120120095 and 1010120120104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010120120137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060060058 + 505060060059.

It is an arithmetic number, because the mean of its divisors is an integer number (505060060059).

Almost surely, 2^{1010120120117} is an apocalyptic number.

It is an amenable number.

1010120120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120120117 is an equidigital number, since it uses as much as digits as its factorization.

1010120120117 is an evil number, because the sum of its binary digits is even.

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

Adding to 1010120120117 its reverse (7110210210101), we get a palindrome (8120330330218).

The spelling of 1010120120117 in words is "one trillion, ten billion, one hundred twenty million, one hundred twenty thousand, one hundred seventeen".