10101111061 has 2 divisors, whose sum is σ = 10101111062. Its totient is φ = 10101111060.

The previous prime is 10101111029. The next prime is 10101111067. The reversal of 10101111061 is 16011110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7517930436 + 2583180625 = 86706^2 + 50825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111061 - 2⁵ = 10101111029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555530 + 5050555531.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555531).

Almost surely, 2^10101111061 is an apocalyptic number.

It is an amenable number.

10101111061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111061 is an equidigital number, since it uses as much as digits as its factorization.

10101111061 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 10101111061 its reverse (16011110101), we get a palindrome (26112221162).

The spelling of 10101111061 in words is "ten billion, one hundred one million, one hundred eleven thousand, sixty-one".