10201101010081 has 2 divisors, whose sum is σ = 10201101010082. Its totient is φ = 10201101010080.

The previous prime is 10201101009929. The next prime is 10201101010123. The reversal of 10201101010081 is 18001010110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9301334936481 + 899766073600 = 3049809^2 + 948560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201101010081 is a prime.

It is a super-2 number, since 2×10201101010081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201101010481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100550505040 + 5100550505041.

It is an arithmetic number, because the mean of its divisors is an integer number (5100550505041).

Almost surely, 2^{10201101010081} is an apocalyptic number.

It is an amenable number.

10201101010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201101010081 is an equidigital number, since it uses as much as digits as its factorization.

10201101010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10201101010081 its reverse (18001010110201), we get a palindrome (28202111120282).

The spelling of 10201101010081 in words is "ten trillion, two hundred one billion, one hundred one million, ten thousand, eighty-one".