10011011000001 has 16 divisors (see below), whose sum is σ = 14561579934720. Its totient is φ = 6067233815120.

The previous prime is 10011010999981. The next prime is 10011011000033. The reversal of 10011011000001 is 10000011011001.

It is a cyclic number.

It is not a de Polignac number, because 10011011000001 - 2⁶ = 10011010999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011011001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3616156 + ... + 5753138.

It is an arithmetic number, because the mean of its divisors is an integer number (910098745920).

Almost surely, 2^{10011011000001} is an apocalyptic number.

10011011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011011000001 is a deficient number, since it is larger than the sum of its proper divisors (4550568934719).

10011011000001 is a wasteful number, since it uses less digits than its factorization.

10011011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278956.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011011000001 its reverse (10000011011001), we get a palindrome (20011022011002).

It can be divided in two parts, 100110 and 11000001, that added together give a palindrome (11100111).

The spelling of 10011011000001 in words is "ten trillion, eleven billion, eleven million, one", and thus it is an aban number and an uban number.