10001101111001 has 128 divisors (see below), whose sum is σ = 15314711150592. Its totient is φ = 6267165696000.

The previous prime is 10001101110983. The next prime is 10001101111009. The reversal of 10001101111001 is 10011110110001.

It is a de Polignac number, because none of the positive numbers 2^k-10001101111001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001101111001.

It is not an unprimeable number, because it can be changed into a prime (10001101111009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11720981 + ... + 12545261.

It is an arithmetic number, because the mean of its divisors is an integer number (119646180864).

Almost surely, 2^{10001101111001} is an apocalyptic number.

10001101111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001101111001 is a deficient number, since it is larger than the sum of its proper divisors (5313610039591).

10001101111001 is a wasteful number, since it uses less digits than its factorization.

10001101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824383.

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

Adding to 10001101111001 its reverse (10011110110001), we get a palindrome (20012211221002).

The spelling of 10001101111001 in words is "ten trillion, one billion, one hundred one million, one hundred eleven thousand, one".