10011111001001 has 64 divisors (see below), whose sum is σ = 11425520240640. Its totient is φ = 8693092800000.

The previous prime is 10011111000967. The next prime is 10011111001037. The reversal of 10011111001001 is 10010011111001.

10011111001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011111001001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011111001001.

It is not an unprimeable number, because it can be changed into a prime (10011111001061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291252541 + ... + 1291260293.

It is an arithmetic number, because the mean of its divisors is an integer number (178523753760).

Almost surely, 2^{10011111001001} is an apocalyptic number.

10011111001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011111001001 is a deficient number, since it is larger than the sum of its proper divisors (1414409239639).

10011111001001 is a wasteful number, since it uses less digits than its factorization.

10011111001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8238.

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

Adding to 10011111001001 its reverse (10010011111001), we get a palindrome (20021122112002).

The spelling of 10011111001001 in words is "ten trillion, eleven billion, one hundred eleven million, one thousand, one".