10121122181 has 2 divisors, whose sum is σ = 10121122182. Its totient is φ = 10121122180.

The previous prime is 10121122139. The next prime is 10121122183. The reversal of 10121122181 is 18122112101.

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., 7826233156 + 2294889025 = 88466^2 + 47905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121122181 is a prime.

It is a super-2 number, since 2×10121122181² (a number of 21 digits) contains 22 as substring.

Together with 10121122183, 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 (10121122183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060561090 + 5060561091.

It is an arithmetic number, because the mean of its divisors is an integer number (5060561091).

Almost surely, 2^10121122181 is an apocalyptic number.

It is an amenable number.

10121122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121122181 is an equidigital number, since it uses as much as digits as its factorization.

10121122181 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 10121122181 its reverse (18122112101), we get a palindrome (28243234282).

The spelling of 10121122181 in words is "ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred eighty-one".