101010010100117 has 2 divisors, whose sum is σ = 101010010100118. Its totient is φ = 101010010100116.

The previous prime is 101010010100107. The next prime is 101010010100143. The reversal of 101010010100117 is 711001010010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81942342944401 + 19067667155716 = 9052201^2 + 4366654^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010100117 - 2⁸ = 101010010099861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010010100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005050058 + 50505005050059.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005050059).

Almost surely, 2^{101010010100117} is an apocalyptic number.

It is an amenable number.

101010010100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010100117 is an equidigital number, since it uses as much as digits as its factorization.

101010010100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 101010010100117 its reverse (711001010010101), we get a palindrome (812011020110218).

The spelling of 101010010100117 in words is "one hundred one trillion, ten billion, ten million, one hundred thousand, one hundred seventeen".