2002201210000 has 50 divisors (see below), whose sum is σ = 4847529373742. Its totient is φ = 800880480000.

The previous prime is 2002201209979. The next prime is 2002201210003. The reversal of 2002201210000 is 121022002.

It can be written as a sum of positive squares in 5 ways, for example, as 1538363934864 + 463837275136 = 1240308^2 + 681056^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is not an unprimeable number, because it can be changed into a prime (2002201210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100100061 + ... + 100120060.

Almost surely, 2^{2002201210000} is an apocalyptic number.

2002201210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201210000 is an abundant number, since it is smaller than the sum of its proper divisors (2845328163742).

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

2002201210000 is an equidigital number, since it uses as much as digits as its factorization.

2002201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200220149 (or 200220128 counting only the distinct ones).

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

Adding to 2002201210000 its reverse (121022002), we get a palindrome (2002322232002).

The spelling of 2002201210000 in words is "two trillion, two billion, two hundred one million, two hundred ten thousand".