121001011122181 has 2 divisors, whose sum is σ = 121001011122182. Its totient is φ = 121001011122180.

The previous prime is 121001011122073. The next prime is 121001011122221. The reversal of 121001011122181 is 181221110100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118928948757025 + 2072062365156 = 10905455^2 + 1439466^2 .

It is a cyclic number.

It is not a de Polignac number, because 121001011122181 - 2¹⁹ = 121001010597893 is a prime.

It is a super-2 number, since 2×121001011122181² (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 (121001011162181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500505561090 + 60500505561091.

It is an arithmetic number, because the mean of its divisors is an integer number (60500505561091).

Almost surely, 2^{121001011122181} is an apocalyptic number.

It is an amenable number.

121001011122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

121001011122181 is an equidigital number, since it uses as much as digits as its factorization.

121001011122181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

The spelling of 121001011122181 in words is "one hundred twenty-one trillion, one billion, eleven million, one hundred twenty-two thousand, one hundred eighty-one".