10001001111111 has 6 divisors (see below), whose sum is σ = 14445890493840. Its totient is φ = 6667334074068.

The previous prime is 10001001111083. The next prime is 10001001111163. The reversal of 10001001111111 is 11111110010001.

It is not a de Polignac number, because 10001001111111 - 2⁹ = 10001001110599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111222345679 = 10001001111111 / (1 + 0 + 0 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 1).

10001001111111 is a modest number, since divided by 1111111 gives 1000100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10001001111093 and 10001001111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001111011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555611172831 + ... + 555611172848.

It is an arithmetic number, because the mean of its divisors is an integer number (2407648415640).

Almost surely, 2^{10001001111111} is an apocalyptic number.

10001001111111 is a deficient number, since it is larger than the sum of its proper divisors (4444889382729).

10001001111111 is a wasteful number, since it uses less digits than its factorization.

10001001111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111222345685 (or 1111222345682 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10001001111111 its reverse (11111110010001), we get a palindrome (21112111121112).

The spelling of 10001001111111 in words is "ten trillion, one billion, one million, one hundred eleven thousand, one hundred eleven".