10011011101001 has 8 divisors (see below), whose sum is σ = 10094840616960. Its totient is φ = 9927259751808.

The previous prime is 10011011100989. The next prime is 10011011101061. The reversal of 10011011101001 is 10010111011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011011101001 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 10011011101001.

It is not an unprimeable number, because it can be changed into a prime (10011011101061) 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, 19284461 + ... + 19796778.

It is an arithmetic number, because the mean of its divisors is an integer number (1261855077120).

Almost surely, 2^{10011011101001} is an apocalyptic number.

It is an amenable number.

10011011101001 is a deficient number, since it is larger than the sum of its proper divisors (83829515959).

10011011101001 is a wasteful number, since it uses less digits than its factorization.

10011011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39083383.

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

Adding to 10011011101001 its reverse (10010111011001), we get a palindrome (20021122112002).

The spelling of 10011011101001 in words is "ten trillion, eleven billion, eleven million, one hundred one thousand, one".