202201210200000 has 672 divisors, whose sum is σ = 730467788069376. Its totient is φ = 48952512000000.

The previous prime is 202201210199977. The next prime is 202201210200023. The reversal of 202201210200000 is 2012102202.

It is an interprime number because it is at equal distance from previous prime (202201210199977) and next prime (202201210200023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4996179765 + ... + 4996220235.

It is an arithmetic number, because the mean of its divisors is an integer number (1087005637008).

Almost surely, 2^{202201210200000} is an apocalyptic number.

202201210200000 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 202201210200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365233894034688).

202201210200000 is an abundant number, since it is smaller than the sum of its proper divisors (528266577869376).

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

202201210200000 is an equidigital number, since it uses as much as digits as its factorization.

202201210200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41279 (or 41249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202201210200000 its reverse (2012102202), we get a palindrome (202203222302202).

The spelling of 202201210200000 in words is "two hundred two trillion, two hundred one billion, two hundred ten million, two hundred thousand".