101310110081 has 2 divisors, whose sum is σ = 101310110082. Its totient is φ = 101310110080.

The previous prime is 101310110023. The next prime is 101310110123. The reversal of 101310110081 is 180011013101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81676495681 + 19633614400 = 285791^2 + 140120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101310110081 is a prime.

It is a super-2 number, since 2×101310110081² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101310110021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655055040 + 50655055041.

It is an arithmetic number, because the mean of its divisors is an integer number (50655055041).

Almost surely, 2^101310110081 is an apocalyptic number.

It is an amenable number.

101310110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310110081 is an equidigital number, since it uses as much as digits as its factorization.

101310110081 is an evil number, because the sum of its binary digits is even.

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

Adding to 101310110081 its reverse (180011013101), we get a palindrome (281321123182).

The spelling of 101310110081 in words is "one hundred one billion, three hundred ten million, one hundred ten thousand, eighty-one".