1122112211100 has 144 divisors (see below), whose sum is σ = 3351985459200. Its totient is φ = 289524614400.

The previous prime is 1122112211057. The next prime is 1122112211111. The reversal of 1122112211100 is 11122112211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1122112211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100425114 + ... + 100436286.

It is an arithmetic number, because the mean of its divisors is an integer number (23277676800).

Almost surely, 2^{1122112211100} is an apocalyptic number.

1122112211100 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 1122112211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675992729600).

1122112211100 is an abundant number, since it is smaller than the sum of its proper divisors (2229873248100).

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

1122112211100 is a wasteful number, since it uses less digits than its factorization.

1122112211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22020 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122112211100 its reverse (11122112211), we get a palindrome (1133234323311).

The spelling of 1122112211100 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred".