10111121111100 has 72 divisors (see below), whose sum is σ = 29265848254720. Its totient is φ = 2695284722880.

The previous prime is 10111121111041. The next prime is 10111121111149. The reversal of 10111121111100 is 111112111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5539972 + ... + 7135371.

Almost surely, 2^{10111121111100} is an apocalyptic number.

10111121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111121111100 is an abundant number, since it is smaller than the sum of its proper divisors (19154727143620).

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

10111121111100 is a wasteful number, since it uses less digits than its factorization.

10111121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12678019 (or 12678012 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111121111100 its reverse (111112111101), we get a palindrome (10222233222201).

It can be divided in two parts, 1011112 and 1111100, that added together give a palindrome (2122212).

The spelling of 10111121111100 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".