2102201200 has 240 divisors, whose sum is σ = 5796628992. Its totient is φ = 725760000.

The previous prime is 2102201161. The next prime is 2102201201. The reversal of 2102201200 is 21022012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102201201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7757065 + ... + 7757335.

Almost surely, 2^2102201200 is an apocalyptic number.

2102201200 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 2102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898314496).

2102201200 is an abundant number, since it is smaller than the sum of its proper divisors (3694427792).

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

2102201200 is a wasteful number, since it uses less digits than its factorization.

2102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102201200 is about 45849.7677202404. The cubic root of 2102201200 is about 1281.0264390427.

Adding to 2102201200 its reverse (21022012), we get a palindrome (2123223212).

2102201200 divided by its reverse (21022012) gives a square (100 = 10²).

It can be divided in two parts, 2102 and 201200, that added together give a palindrome (203302).

The spelling of 2102201200 in words is "two billion, one hundred two million, two hundred one thousand, two hundred".