1111121111100 has 864 divisors, whose sum is σ = 4467169305088. Its totient is φ = 207339264000.

The previous prime is 1111121111099. The next prime is 1111121111123. The reversal of 1111121111100 is 11111211111.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122217555 + ... + 122226645.

Almost surely, 2^{1111121111100} is an apocalyptic number.

1111121111100 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 1111121111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233584652544).

1111121111100 is an abundant number, since it is smaller than the sum of its proper divisors (3356048193988).

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

1111121111100 is a wasteful number, since it uses less digits than its factorization.

1111121111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9169 counting only the distinct ones).

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

Adding to 1111121111100 its reverse (11111211111), we get a palindrome (1122232322211).

1111121111100 divided by its reverse (11111211111) gives a square (100 = 10²).

It can be divided in two parts, 1111121 and 111100, that added together give a palindrome (1222221).

The spelling of 1111121111100 in words is "one trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".