101001001111001 has 4 divisors (see below), whose sum is σ = 101063617976292. Its totient is φ = 100938384245712.

The previous prime is 101001001110983. The next prime is 101001001111013. The reversal of 101001001111001 is 100111100100101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25752732331225 + 75248268779776 = 5074715^2 + 8674576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001001111001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101001001111001.

It is not an unprimeable number, because it can be changed into a prime (101001001111051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31308430226 + ... + 31308433451.

It is an arithmetic number, because the mean of its divisors is an integer number (25265904494073).

Almost surely, 2^{101001001111001} is an apocalyptic number.

It is an amenable number.

101001001111001 is a deficient number, since it is larger than the sum of its proper divisors (62616865291).

101001001111001 is an equidigital number, since it uses as much as digits as its factorization.

101001001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62616865290.

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

Adding to 101001001111001 its reverse (100111100100101), we get a palindrome (201112101211102).

The spelling of 101001001111001 in words is "one hundred one trillion, one billion, one million, one hundred eleven thousand, one".