10011000011001 has 12 divisors (see below), whose sum is σ = 14671768611696. Its totient is φ = 6067272733720.

The previous prime is 10011000010919. The next prime is 10011000011009.

10011000011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10011000011001 - 2¹¹ = 10011000008953 is a prime.

10011000011001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (10011000011009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13789255851 + ... + 13789256576.

It is an arithmetic number, because the mean of its divisors is an integer number (1222647384308).

Almost surely, 2^{10011000011001} is an apocalyptic number.

10011000011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011000011001 is a deficient number, since it is larger than the sum of its proper divisors (4660768600695).

10011000011001 is a wasteful number, since it uses less digits than its factorization.

10011000011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27578512452 (or 27578512441 counting only the distinct ones).

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

It can be divided in two parts, 100110000 and 11001, that added together give a palindrome (100121001).

The spelling of 10011000011001 in words is "ten trillion, eleven billion, eleven thousand, one".