100111011061 has 2 divisors, whose sum is σ = 100111011062. Its totient is φ = 100111011060.

The previous prime is 100111011047. The next prime is 100111011073. The reversal of 100111011061 is 160110111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99599572836 + 511438225 = 315594^2 + 22615^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011061 - 2⁷ = 100111010933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505530 + 50055505531.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505531).

Almost surely, 2^100111011061 is an apocalyptic number.

It is an amenable number.

100111011061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011061 is an equidigital number, since it uses as much as digits as its factorization.

100111011061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100111011061 its reverse (160110111001), we get a palindrome (260221122062).

The spelling of 100111011061 in words is "one hundred billion, one hundred eleven million, eleven thousand, sixty-one".