11102000100111 has 40 divisors (see below), whose sum is σ = 17205507396000. Its totient is φ = 7125638506560.

The previous prime is 11102000100109. The next prime is 11102000100119. The reversal of 11102000100111 is 11100100020111.

It is not a de Polignac number, because 11102000100111 - 2¹ = 11102000100109 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11102000100093 and 11102000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102000100119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5951355 + ... + 7590956.

It is an arithmetic number, because the mean of its divisors is an integer number (430137684900).

Almost surely, 2^{11102000100111} is an apocalyptic number.

11102000100111 is a deficient number, since it is larger than the sum of its proper divisors (6103507295889).

11102000100111 is a wasteful number, since it uses less digits than its factorization.

11102000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542701 (or 13542692 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11102000100111 its reverse (11100100020111), we get a palindrome (22202100120222).

The spelling of 11102000100111 in words is "eleven trillion, one hundred two billion, one hundred thousand, one hundred eleven".