10111011111001 has 8 divisors (see below), whose sum is σ = 10212152464008. Its totient is φ = 10009890000000.

The previous prime is 10111011110983. The next prime is 10111011111017. The reversal of 10111011111001 is 10011111011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9496474273225 + 614536837776 = 3081635^2 + 783924^2 .

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 10111011111001 - 2¹¹ = 10111011108953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111011111031) 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, 4055500 + ... + 6055501.

It is an arithmetic number, because the mean of its divisors is an integer number (1276519058001).

Almost surely, 2^{10111011111001} is an apocalyptic number.

It is an amenable number.

10111011111001 is a deficient number, since it is larger than the sum of its proper divisors (101141353007).

10111011111001 is a wasteful number, since it uses less digits than its factorization.

10111011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121003.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111011111001 its reverse (10011111011101), we get a palindrome (20122122122102).

The spelling of 10111011111001 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one".