202201001122200 has 768 divisors, whose sum is σ = 714442383475200. Its totient is φ = 46998790963200.

The previous prime is 202201001122187. The next prime is 202201001122231. The reversal of 202201001122200 is 2221100102202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202201001122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1926900934 + ... + 1927005866.

It is an arithmetic number, because the mean of its divisors is an integer number (930263520150).

Almost surely, 2^{202201001122200} is an apocalyptic number.

202201001122200 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 202201001122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357221191737600).

202201001122200 is an abundant number, since it is smaller than the sum of its proper divisors (512241382353000).

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

202201001122200 is a wasteful number, since it uses less digits than its factorization.

202201001122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105212 (or 105203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202201001122200 its reverse (2221100102202), we get a palindrome (204422101224402).

The spelling of 202201001122200 in words is "two hundred two trillion, two hundred one billion, one million, one hundred twenty-two thousand, two hundred".