10101010001081 has 2 divisors, whose sum is σ = 10101010001082. Its totient is φ = 10101010001080.

The previous prime is 10101010001059. The next prime is 10101010001123. The reversal of 10101010001081 is 18010001010101.

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., 6228438627856 + 3872571373225 = 2495684^2 + 1967885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101010001081 - 2¹⁴ = 10101009984697 is a prime.

It is a super-2 number, since 2×10101010001081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101010001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505000540 + 5050505000541.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505000541).

Almost surely, 2^{10101010001081} is an apocalyptic number.

It is an amenable number.

10101010001081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101010001081 is an equidigital number, since it uses as much as digits as its factorization.

10101010001081 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 10101010001081 its reverse (18010001010101), we get a palindrome (28111011011182).

The spelling of 10101010001081 in words is "ten trillion, one hundred one billion, ten million, one thousand, eighty-one".