1102120200 has 144 divisors (see below), whose sum is σ = 3919118580. Its totient is φ = 276602880.

The previous prime is 1102120163. The next prime is 1102120207. The reversal of 1102120200 is 20212011.

It can be written as a sum of positive squares in 6 ways, for example, as 567678276 + 534441924 = 23826^2 + 23118^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102120207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12592 + ... + 48608.

Almost surely, 2^1102120200 is an apocalyptic number.

1102120200 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 1102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959559290).

1102120200 is an abundant number, since it is smaller than the sum of its proper divisors (2816998380).

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

1102120200 is a wasteful number, since it uses less digits than its factorization.

1102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36056 (or 36044 counting only the distinct ones).

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

The square root of 1102120200 is about 33198.1957341058. The cubic root of 1102120200 is about 1032.9429141341.

Adding to 1102120200 its reverse (20212011), we get a palindrome (1122332211).

The spelling of 1102120200 in words is "one billion, one hundred two million, one hundred twenty thousand, two hundred".