11000101001001 has 16 divisors (see below), whose sum is σ = 16766009324544. Its totient is φ = 6284290504464.

The previous prime is 11000101000981. The next prime is 11000101001033. The reversal of 11000101001001 is 10010010100011.

It is not a de Polignac number, because 11000101001001 - 2¹⁸ = 11000100738857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000101001101) 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, 61637781 + ... + 61815986.

It is an arithmetic number, because the mean of its divisors is an integer number (1047875582784).

Almost surely, 2^{11000101001001} is an apocalyptic number.

It is an amenable number.

11000101001001 is a deficient number, since it is larger than the sum of its proper divisors (5765908323543).

11000101001001 is a wasteful number, since it uses less digits than its factorization.

11000101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123458020.

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

Adding to 11000101001001 its reverse (10010010100011), we get a palindrome (21010111101012).

The spelling of 11000101001001 in words is "eleven trillion, one hundred one million, one thousand, one".