10001001111101 has 64 divisors (see below), whose sum is σ = 13727717498880. Its totient is φ = 7033234959360.

The previous prime is 10001001111083. The next prime is 10001001111163. The reversal of 10001001111101 is 10111110010001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001001111101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001111001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45856130 + ... + 46073708.

It is an arithmetic number, because the mean of its divisors is an integer number (214495585920).

Almost surely, 2^{10001001111101} is an apocalyptic number.

10001001111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001001111101 is a deficient number, since it is larger than the sum of its proper divisors (3726716387779).

10001001111101 is a wasteful number, since it uses less digits than its factorization.

10001001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218634.

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

Adding to 10001001111101 its reverse (10111110010001), we get a palindrome (20112111121102).

The spelling of 10001001111101 in words is "ten trillion, one billion, one million, one hundred eleven thousand, one hundred one".