10011001111001 has 8 divisors (see below), whose sum is σ = 10930246445664. Its totient is φ = 9093281497120.

The previous prime is 10011001110991. The next prime is 10011001111003. The reversal of 10011001111001 is 10011110011001.

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 10011001111001 - 2¹⁴ = 10011001094617 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 10011001111001.

It is not an unprimeable number, because it can be changed into a prime (10011001111003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381416471 + ... + 381442716.

It is an arithmetic number, because the mean of its divisors is an integer number (1366280805708).

Almost surely, 2^{10011001111001} is an apocalyptic number.

10011001111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011001111001 is a deficient number, since it is larger than the sum of its proper divisors (919245334663).

10011001111001 is a wasteful number, since it uses less digits than its factorization.

10011001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762860391.

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

Adding to 10011001111001 its reverse (10011110011001), we get a palindrome (20022111122002).

It can be divided in two parts, 1001 and 1001111001, that multiplied together give a palindrome (1002112112001).

The spelling of 10011001111001 in words is "ten trillion, eleven billion, one million, one hundred eleven thousand, one".