101011022210117 has 2 divisors, whose sum is σ = 101011022210118. Its totient is φ = 101011022210116.

The previous prime is 101011022210023. The next prime is 101011022210173. The reversal of 101011022210117 is 711012220110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96947536285636 + 4063485924481 = 9846194^2 + 2015809^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011022210117 - 2¹⁴ = 101011022193733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011922210117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505511105058 + 50505511105059.

It is an arithmetic number, because the mean of its divisors is an integer number (50505511105059).

Almost surely, 2^{101011022210117} is an apocalyptic number.

It is an amenable number.

101011022210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011022210117 is an equidigital number, since it uses as much as digits as its factorization.

101011022210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 101011022210117 its reverse (711012220110101), we get a palindrome (812023242320218).

The spelling of 101011022210117 in words is "one hundred one trillion, eleven billion, twenty-two million, two hundred ten thousand, one hundred seventeen".