10011010100081 has 2 divisors, whose sum is σ = 10011010100082. Its totient is φ = 10011010100080.

The previous prime is 10011010100059. The next prime is 10011010100089. The reversal of 10011010100081 is 18000101011001.

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., 9791836314481 + 219173785600 = 3129191^2 + 468160^2 .

It is an emirp because it is prime and its reverse (18000101011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011010100081 - 2²² = 10011005905777 is a prime.

It is a super-2 number, since 2×10011010100081² (a number of 27 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 (10011010100089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005505050040 + 5005505050041.

It is an arithmetic number, because the mean of its divisors is an integer number (5005505050041).

Almost surely, 2^{10011010100081} is an apocalyptic number.

It is an amenable number.

10011010100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011010100081 is an equidigital number, since it uses as much as digits as its factorization.

10011010100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10011010100081 its reverse (18000101011001), we get a palindrome (28011111111082).

The spelling of 10011010100081 in words is "ten trillion, eleven billion, ten million, one hundred thousand, eighty-one".