10111100011001 has 8 divisors (see below), whose sum is σ = 11410645780800. Its totient is φ = 8874946717840.

The previous prime is 10111100010989. The next prime is 10111100011007. The reversal of 10111100011001 is 10011000111101.

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

It is a cyclic number.

It is not a de Polignac number, because 10111100011001 - 2²⁶ = 10111032902137 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 10111100011001.

It is not an unprimeable number, because it can be changed into a prime (10111100011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15848118821 + ... + 15848119458.

It is an arithmetic number, because the mean of its divisors is an integer number (1426330722600).

Almost surely, 2^{10111100011001} is an apocalyptic number.

10111100011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111100011001 is a deficient number, since it is larger than the sum of its proper divisors (1299545769799).

10111100011001 is a wasteful number, since it uses less digits than its factorization.

10111100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31696238319.

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

Adding to 10111100011001 its reverse (10011000111101), we get a palindrome (20122100122102).

The spelling of 10111100011001 in words is "ten trillion, one hundred eleven billion, one hundred million, eleven thousand, one".