10111001101116 has 24 divisors (see below), whose sum is σ = 23593056340560. Its totient is φ = 3370230780672.

The previous prime is 10111001101111. The next prime is 10111001101139. The reversal of 10111001101116 is 61110110011101.

It is a junction number, because it is equal to n+sod(n) for n = 10111001101095 and 10111001101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12455101 + ... + 13242036.

It is an arithmetic number, because the mean of its divisors is an integer number (983044014190).

Almost surely, 2^{10111001101116} is an apocalyptic number.

It is an amenable number.

10111001101116 is an abundant number, since it is smaller than the sum of its proper divisors (13482055239444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111001101116 is a wasteful number, since it uses less digits than its factorization.

10111001101116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25729933 (or 25729931 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 10111001101116 its reverse (61110110011101), we get a palindrome (71221111112217).

The spelling of 10111001101116 in words is "ten trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred sixteen".