1100222100 has 108 divisors (see below), whose sum is σ = 3455104380. Its totient is φ = 292838400.

The previous prime is 1100222093. The next prime is 1100222119. The reversal of 1100222100 is 12220011.

It can be written as a sum of positive squares in 6 ways, for example, as 176305284 + 923916816 = 13278^2 + 30396^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 738156 + ... + 739644.

Almost surely, 2^1100222100 is an apocalyptic number.

1100222100 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 1100222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727552190).

1100222100 is an abundant number, since it is smaller than the sum of its proper divisors (2354882280).

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

1100222100 is a wasteful number, since it uses less digits than its factorization.

1100222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1100222100 is about 33169.5960180404. The cubic root of 1100222100 is about 1032.3495863609.

Adding to 1100222100 its reverse (12220011), we get a palindrome (1112442111).

The spelling of 1100222100 in words is "one billion, one hundred million, two hundred twenty-two thousand, one hundred".