11000101110111 has 192 divisors, whose sum is σ = 18182045756160. Its totient is φ = 6391578378240.

The previous prime is 11000101110109. The next prime is 11000101110151. The reversal of 11000101110111 is 11101110100011.

It is not a de Polignac number, because 11000101110111 - 2¹ = 11000101110109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

11000101110111 is a modest number, since divided by 1110111 gives 110001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11000101110093 and 11000101110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101110101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9068508141 + ... + 9068509353.

It is an arithmetic number, because the mean of its divisors is an integer number (94698154980).

Almost surely, 2^{11000101110111} is an apocalyptic number.

11000101110111 is a deficient number, since it is larger than the sum of its proper divisors (7181944646049).

11000101110111 is a wasteful number, since it uses less digits than its factorization.

11000101110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1534 counting only the distinct ones).

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

Adding to 11000101110111 its reverse (11101110100011), we get a palindrome (22101211210122).

The spelling of 11000101110111 in words is "eleven trillion, one hundred one million, one hundred ten thousand, one hundred eleven".