122201011100117 has 2 divisors, whose sum is σ = 122201011100118. Its totient is φ = 122201011100116.

The previous prime is 122201011100089. The next prime is 122201011100123. The reversal of 122201011100117 is 711001110102221.

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., 61454169811441 + 60746841288676 = 7839271^2 + 7794026^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201011100117 - 2¹⁴ = 122201011083733 is a prime.

It is a super-2 number, since 2×122201011100117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122203011100117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100505550058 + 61100505550059.

It is an arithmetic number, because the mean of its divisors is an integer number (61100505550059).

Almost surely, 2^{122201011100117} is an apocalyptic number.

It is an amenable number.

122201011100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201011100117 is an equidigital number, since it uses as much as digits as its factorization.

122201011100117 is an evil number, because the sum of its binary digits is even.

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

Adding to 122201011100117 its reverse (711001110102221), we get a palindrome (833202121202338).

The spelling of 122201011100117 in words is "one hundred twenty-two trillion, two hundred one billion, eleven million, one hundred thousand, one hundred seventeen".