10011000000001 has 192 divisors, whose sum is σ = 14244932782080. Its totient is φ = 6908461056000.

The previous prime is 10010999999881. The next prime is 10011000000061. The reversal of 10011000000001 is 10000000011001.

It is not a de Polignac number, because 10011000000001 - 2¹⁵ = 10010999967233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011000000061) 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 191 ways as a sum of consecutive naturals, for example, 21715834911 + ... + 21715835371.

It is an arithmetic number, because the mean of its divisors is an integer number (74192358240).

Almost surely, 2^{10011000000001} is an apocalyptic number.

10011000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011000000001 is a deficient number, since it is larger than the sum of its proper divisors (4233932782079).

10011000000001 is a wasteful number, since it uses less digits than its factorization.

10011000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10011000000001 its reverse (10000000011001), we get a palindrome (20011000011002).

It can be divided in two parts, 1001 and 1000000001, that multiplied together give a palindrome (1001000001001).

The spelling of 10011000000001 in words is "ten trillion, eleven billion, one", and thus it is an aban number and an uban number.