1111122101100 has 576 divisors, whose sum is σ = 3622475146752. Its totient is φ = 260702208000.

The previous prime is 1111122101057. The next prime is 1111122101107. The reversal of 1111122101100 is 11012211111.

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

It is not an unprimeable number, because it can be changed into a prime (1111122101107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4323432172 + ... + 4323432428.

It is an arithmetic number, because the mean of its divisors is an integer number (6289019352).

Almost surely, 2^{1111122101100} is an apocalyptic number.

1111122101100 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 1111122101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811237573376).

1111122101100 is an abundant number, since it is smaller than the sum of its proper divisors (2511353045652).

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

1111122101100 is a wasteful number, since it uses less digits than its factorization.

1111122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1111122101100 its reverse (11012211111), we get a palindrome (1122134312211).

The spelling of 1111122101100 in words is "one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred".