101000101111001 has 2 divisors, whose sum is σ = 101000101111002. Its totient is φ = 101000101111000.

The previous prime is 101000101110911. The next prime is 101000101111051. The reversal of 101000101111001 is 100111101000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98941794408601 + 2058306702400 = 9946949^2 + 1434680^2 .

It is an emirp because it is prime and its reverse (100111101000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000101111001 - 2²⁶ = 101000034002137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000101111001.

It is not a weakly prime, because it can be changed into another prime (101000101111051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050555500 + 50500050555501.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050555501).

Almost surely, 2^{101000101111001} is an apocalyptic number.

It is an amenable number.

101000101111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101111001 is an equidigital number, since it uses as much as digits as its factorization.

101000101111001 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 8.

Adding to 101000101111001 its reverse (100111101000101), we get a palindrome (201111202111102).

The spelling of 101000101111001 in words is "one hundred one trillion, one hundred one million, one hundred eleven thousand, one".