101111122061 has 2 divisors, whose sum is σ = 101111122062. Its totient is φ = 101111122060.

The previous prime is 101111121989. The next prime is 101111122103. The reversal of 101111122061 is 160221111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71619929161 + 29491192900 = 267619^2 + 171730^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111122061 - 2²⁶ = 101044013197 is a prime.

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 (101111122561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555561030 + 50555561031.

It is an arithmetic number, because the mean of its divisors is an integer number (50555561031).

Almost surely, 2^101111122061 is an apocalyptic number.

It is an amenable number.

101111122061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111122061 is an equidigital number, since it uses as much as digits as its factorization.

101111122061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 101111122061 its reverse (160221111101), we get a palindrome (261332233162).

The spelling of 101111122061 in words is "one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, sixty-one".