121122100022177 has 2 divisors, whose sum is σ = 121122100022178. Its totient is φ = 121122100022176.

The previous prime is 121122100022089. The next prime is 121122100022299. The reversal of 121122100022177 is 771220001221121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84637129624336 + 36484970397841 = 9199844^2 + 6040279^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122100022177 - 2²⁴ = 121122083244961 is a prime.

It is a super-2 number, since 2×121122100022177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121122300022177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561050011088 + 60561050011089.

It is an arithmetic number, because the mean of its divisors is an integer number (60561050011089).

Almost surely, 2^{121122100022177} is an apocalyptic number.

It is an amenable number.

121122100022177 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122100022177 is an equidigital number, since it uses as much as digits as its factorization.

121122100022177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 29.

Adding to 121122100022177 its reverse (771220001221121), we get a palindrome (892342101243298).

The spelling of 121122100022177 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred seventy-seven".