121122102222181 has 2 divisors, whose sum is σ = 121122102222182. Its totient is φ = 121122102222180.

The previous prime is 121122102222101. The next prime is 121122102222217. The reversal of 121122102222181 is 181222201221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79738934871556 + 41383167350625 = 8929666^2 + 6432975^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122102222181 - 2²⁵ = 121122068667749 is a prime.

It is a super-2 number, since 2×121122102222181² (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 (121122102222101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561051111090 + 60561051111091.

It is an arithmetic number, because the mean of its divisors is an integer number (60561051111091).

Almost surely, 2^{121122102222181} is an apocalyptic number.

It is an amenable number.

121122102222181 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122102222181 is an equidigital number, since it uses as much as digits as its factorization.

121122102222181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 28.

The spelling of 121122102222181 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, one hundred eighty-one".