122112220102177 has 2 divisors, whose sum is σ = 122112220102178. Its totient is φ = 122112220102176.

The previous prime is 122112220102133. The next prime is 122112220102217. The reversal of 122112220102177 is 771201022211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96143829647616 + 25968390454561 = 9805296^2 + 5095919^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112220102177 - 2²⁷ = 122112085884449 is a prime.

It is a super-2 number, since 2×122112220102177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112220102777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056110051088 + 61056110051089.

It is an arithmetic number, because the mean of its divisors is an integer number (61056110051089).

Almost surely, 2^{122112220102177} is an apocalyptic number.

It is an amenable number.

122112220102177 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112220102177 is an equidigital number, since it uses as much as digits as its factorization.

122112220102177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 31.

Adding to 122112220102177 its reverse (771201022211221), we get a palindrome (893313242313398).

The spelling of 122112220102177 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, one hundred two thousand, one hundred seventy-seven".