10101110110061 has 2 divisors, whose sum is σ = 10101110110062. Its totient is φ = 10101110110060.

The previous prime is 10101110110057. The next prime is 10101110110079. The reversal of 10101110110061 is 16001101110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8926500675625 + 1174609434436 = 2987725^2 + 1083794^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101110110061 - 2² = 10101110110057 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101110110361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555055030 + 5050555055031.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555055031).

Almost surely, 2^{10101110110061} is an apocalyptic number.

It is an amenable number.

10101110110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101110110061 is an equidigital number, since it uses as much as digits as its factorization.

10101110110061 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 14.

Adding to 10101110110061 its reverse (16001101110101), we get a palindrome (26102211220162).

The spelling of 10101110110061 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, sixty-one".