10111110001001 has 8 divisors (see below), whose sum is σ = 10215507332520. Its totient is φ = 10006715916288.

The previous prime is 10111110000991. The next prime is 10111110001051. The reversal of 10111110001001 is 10010001111101.

It can be written as a sum of positive squares in 4 ways, for example, as 919911174400 + 9191198826601 = 959120^2 + 3031699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111110001001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111110001001.

It is not an unprimeable number, because it can be changed into a prime (10111110001051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5718605 + ... + 7274933.

It is an arithmetic number, because the mean of its divisors is an integer number (1276938416565).

Almost surely, 2^{10111110001001} is an apocalyptic number.

It is an amenable number.

10111110001001 is a deficient number, since it is larger than the sum of its proper divisors (104397331519).

10111110001001 is an equidigital number, since it uses as much as digits as its factorization.

10111110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623403.

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

Adding to 10111110001001 its reverse (10010001111101), we get a palindrome (20121111112102).

The spelling of 10111110001001 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one thousand, one".