101000111110081 has 2 divisors, whose sum is σ = 101000111110082. Its totient is φ = 101000111110080.

The previous prime is 101000111110049. The next prime is 101000111110127. The reversal of 101000111110081 is 180011111000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81902337100081 + 19097774010000 = 9049991^2 + 4370100^2 .

It is an emirp because it is prime and its reverse (180011111000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000111110081 - 2⁵ = 101000111110049 is a prime.

It is a super-2 number, since 2×101000111110081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101000111120081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055555040 + 50500055555041.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055555041).

Almost surely, 2^{101000111110081} is an apocalyptic number.

It is an amenable number.

101000111110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000111110081 is an equidigital number, since it uses as much as digits as its factorization.

101000111110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101000111110081 its reverse (180011111000101), we get a palindrome (281011222110182).

The spelling of 101000111110081 in words is "one hundred one trillion, one hundred eleven million, one hundred ten thousand, eighty-one".