2201011200 has 396 divisors, whose sum is σ = 8107520148. Its totient is φ = 570163200.

The previous prime is 2201011187. The next prime is 2201011213. The reversal of 2201011200 is 21101022.

It is an interprime number because it is at equal distance from previous prime (2201011187) and next prime (2201011213).

It can be written as a sum of positive squares in 6 ways, for example, as 666878976 + 1534132224 = 25824^2 + 39168^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9446284 + ... + 9446516.

Almost surely, 2^2201011200 is an apocalyptic number.

2201011200 is a gapful number since it is divisible by the number (20) 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 2201011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053760074).

2201011200 is an abundant number, since it is smaller than the sum of its proper divisors (5906508948).

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

2201011200 is a wasteful number, since it uses less digits than its factorization.

2201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

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

The square root of 2201011200 is about 46914.9357880835. The cubic root of 2201011200 is about 1300.7906827036.

Adding to 2201011200 its reverse (21101022), we get a palindrome (2222112222).

The spelling of 2201011200 in words is "two billion, two hundred one million, eleven thousand, two hundred".