101110101001001 has 2 divisors, whose sum is σ = 101110101001002. Its totient is φ = 101110101001000.

The previous prime is 101110101000991. The next prime is 101110101001051. The reversal of 101110101001001 is 100100101011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93431942640400 + 7678158360601 = 9666020^2 + 2770949^2 .

It is an emirp because it is prime and its reverse (100100101011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110101001001 - 2²⁶ = 101110033892137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101110101001001.

It is not a weakly prime, because it can be changed into another prime (101110101001051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555050500500 + 50555050500501.

It is an arithmetic number, because the mean of its divisors is an integer number (50555050500501).

Almost surely, 2^{101110101001001} is an apocalyptic number.

It is an amenable number.

101110101001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110101001001 is an equidigital number, since it uses as much as digits as its factorization.

101110101001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101110101001001 its reverse (100100101011101), we get a palindrome (201210202012102).

It can be divided in two parts, 10111010100 and 1001, that added together give a palindrome (10111011101).

The spelling of 101110101001001 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one thousand, one".