10111011001001 has 4 divisors (see below), whose sum is σ = 10113489801600. Its totient is φ = 10108532200404.

The previous prime is 10111011000869. The next prime is 10111011001009. The reversal of 10111011001001 is 10010011011101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10111011001001 - 2¹⁴ = 10111010984617 is a prime.

It is a super-4 number, since 4×10111011001001⁴ (a number of 53 digits) contains 4444 as substring.

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 10111011001001.

It is not an unprimeable number, because it can be changed into a prime (10111011001009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1239394181 + ... + 1239402338.

It is an arithmetic number, because the mean of its divisors is an integer number (2528372450400).

Almost surely, 2^{10111011001001} is an apocalyptic number.

It is an amenable number.

10111011001001 is a deficient number, since it is larger than the sum of its proper divisors (2478800599).

10111011001001 is an equidigital number, since it uses as much as digits as its factorization.

10111011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478800598.

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

Adding to 10111011001001 its reverse (10010011011101), we get a palindrome (20121022012102).

It can be divided in two parts, 1011101 and 1001001, that multiplied together give a palindrome (1012113112101).

The spelling of 10111011001001 in words is "ten trillion, one hundred eleven billion, eleven million, one thousand, one".