1100021122200 has 1536 divisors, whose sum is σ = 4787693568000. Its totient is φ = 201570508800.

The previous prime is 1100021122183. The next prime is 1100021122219. The reversal of 1100021122200 is 22211200011.

It is a super-2 number, since 2×1100021122200² (a number of 25 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 1311109381 + ... + 1311110219.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988000).

Almost surely, 2^{1100021122200} is an apocalyptic number.

1100021122200 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 1100021122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393846784000).

1100021122200 is an abundant number, since it is smaller than the sum of its proper divisors (3687672445800).

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

1100021122200 is a wasteful number, since it uses less digits than its factorization.

1100021122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100021122200 its reverse (22211200011), we get a palindrome (1122232322211).

It can be divided in two parts, 1100021 and 122200, that added together give a palindrome (1222221).

The spelling of 1100021122200 in words is "one trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand, two hundred".