101221111181 has 2 divisors, whose sum is σ = 101221111182. Its totient is φ = 101221111180.

The previous prime is 101221111177. The next prime is 101221111213. The reversal of 101221111181 is 181111122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65512962025 + 35708149156 = 255955^2 + 188966^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221111181 - 2² = 101221111177 is a prime.

It is a super-2 number, since 2×101221111181² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610555590 + 50610555591.

It is an arithmetic number, because the mean of its divisors is an integer number (50610555591).

Almost surely, 2^101221111181 is an apocalyptic number.

It is an amenable number.

101221111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221111181 is an equidigital number, since it uses as much as digits as its factorization.

101221111181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 101221111181 its reverse (181111122101), we get a palindrome (282332233282).

The spelling of 101221111181 in words is "one hundred one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred eighty-one".