101001111111101 has 2 divisors, whose sum is σ = 101001111111102. Its totient is φ = 101001111111100.

The previous prime is 101001111111053. The next prime is 101001111111119. The reversal of 101001111111101 is 101111111100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101001012605476 + 98505625 = 10049926^2 + 9925^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001111111101 - 2¹⁰ = 101001111110077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001111111151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555555550 + 50500555555551.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555555551).

Almost surely, 2^{101001111111101} is an apocalyptic number.

It is an amenable number.

101001111111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001111111101 is an equidigital number, since it uses as much as digits as its factorization.

101001111111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101001111111101 its reverse (101111111100101), we get a palindrome (202112222211202).

The spelling of 101001111111101 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred one".