101000101000081 has 2 divisors, whose sum is σ = 101000101000082. Its totient is φ = 101000101000080.

The previous prime is 101000101000049. The next prime is 101000101000091. The reversal of 101000101000081 is 180000101000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63591709262481 + 37408391737600 = 7974441^2 + 6116240^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000101000081 - 2⁵ = 101000101000049 is a prime.

It is a super-2 number, since 2×101000101000081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101000101000091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050500040 + 50500050500041.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050500041).

Almost surely, 2^{101000101000081} is an apocalyptic number.

It is an amenable number.

101000101000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101000081 is an equidigital number, since it uses as much as digits as its factorization.

101000101000081 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 13.

Adding to 101000101000081 its reverse (180000101000101), we get a palindrome (281000202000182).

The spelling of 101000101000081 in words is "one hundred one trillion, one hundred one million, eighty-one", and thus it is an aban number.