1001122120181 has 2 divisors, whose sum is σ = 1001122120182. Its totient is φ = 1001122120180.

The previous prime is 1001122120057. The next prime is 1001122120183. The reversal of 1001122120181 is 1810212211001.

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., 598443035281 + 402679084900 = 773591^2 + 634570^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001122120181 - 2³⁸ = 726244213237 is a prime.

It is a super-2 number, since 2×1001122120181² (a number of 25 digits) contains 22 as substring.

Together with 1001122120183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001122120183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500561060090 + 500561060091.

It is an arithmetic number, because the mean of its divisors is an integer number (500561060091).

Almost surely, 2^{1001122120181} is an apocalyptic number.

It is an amenable number.

1001122120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001122120181 is an equidigital number, since it uses as much as digits as its factorization.

1001122120181 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 20.

Adding to 1001122120181 its reverse (1810212211001), we get a palindrome (2811334331182).

The spelling of 1001122120181 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred eighty-one".