10011000111001 has 2 divisors, whose sum is σ = 10011000111002. Its totient is φ = 10011000111000.

The previous prime is 10011000110963. The next prime is 10011000111031. The reversal of 10011000111001 is 10011100011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9998528582025 + 12471528976 = 3162045^2 + 111676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011000111001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011000111031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500055500 + 5005500055501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500055501).

Almost surely, 2^{10011000111001} is an apocalyptic number.

It is an amenable number.

10011000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000111001 is an equidigital number, since it uses as much as digits as its factorization.

10011000111001 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 7.

Adding to 10011000111001 its reverse (10011100011001), we get a palindrome (20022100122002).

The spelling of 10011000111001 in words is "ten trillion, eleven billion, one hundred eleven thousand, one".