2122200210200 has 384 divisors, whose sum is σ = 5843583129600. Its totient is φ = 701764577280.

The previous prime is 2122200210199. The next prime is 2122200210203. The reversal of 2122200210200 is 20120022212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122200210203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1623717947 + ... + 1623719253.

It is an arithmetic number, because the mean of its divisors is an integer number (15217664400).

Almost surely, 2^{2122200210200} is an apocalyptic number.

2122200210200 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 2122200210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921791564800).

2122200210200 is an abundant number, since it is smaller than the sum of its proper divisors (3721382919400).

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

2122200210200 is a wasteful number, since it uses less digits than its factorization.

2122200210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122200210200 its reverse (20120022212), we get a palindrome (2142320232412).

The spelling of 2122200210200 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred ten thousand, two hundred".