10111000110100 has 72 divisors (see below), whose sum is σ = 22144464529880. Its totient is φ = 4006878865920.

The previous prime is 10111000110083. The next prime is 10111000110109. The reversal of 10111000110100 is 101100011101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6383080978576 + 3727919131524 = 2526476^2 + 1930782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000110109) 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 23 ways as a sum of consecutive naturals, for example, 118080502 + ... + 118166098.

Almost surely, 2^{10111000110100} is an apocalyptic number.

10111000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111000110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072232264940).

10111000110100 is an abundant number, since it is smaller than the sum of its proper divisors (12033464419780).

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

10111000110100 is a wasteful number, since it uses less digits than its factorization.

10111000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96557 (or 96550 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10111000110100 its reverse (101100011101), we get a palindrome (10212100121201).

The spelling of 10111000110100 in words is "ten trillion, one hundred eleven billion, one hundred ten thousand, one hundred".