2100001200 has 240 divisors, whose sum is σ = 7658724096. Its totient is φ = 486886400.

The previous prime is 2100001171. The next prime is 2100001207. The reversal of 2100001200 is 21000012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2100001207) 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, 300142 + ... + 307058.

Almost surely, 2^2100001200 is an apocalyptic number.

2100001200 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 2100001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829362048).

2100001200 is an abundant number, since it is smaller than the sum of its proper divisors (5558722896).

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

2100001200 is a wasteful number, since it uses less digits than its factorization.

2100001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100001200 is about 45825.7700426299. The cubic root of 2100001200 is about 1280.5794089073.

Adding to 2100001200 its reverse (21000012), we get a palindrome (2121001212).

2100001200 divided by its reverse (21000012) gives a square (100 = 10²).

The spelling of 2100001200 in words is "two billion, one hundred million, one thousand, two hundred".