210001002200000 has 336 divisors, whose sum is σ = 568831192036128. Its totient is φ = 76281753600000.

The previous prime is 210001002199993. The next prime is 210001002200039. The reversal of 210001002200000 is 2200100012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061349064 + ... + 2061450936.

It is an arithmetic number, because the mean of its divisors is an integer number (1692949976298).

Almost surely, 2^{210001002200000} is an apocalyptic number.

210001002200000 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 210001002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284415596018064).

210001002200000 is an abundant number, since it is smaller than the sum of its proper divisors (358830189836128).

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

210001002200000 is an equidigital number, since it uses as much as digits as its factorization.

210001002200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102858 (or 102828 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 210001002200000 its reverse (2200100012), we get a palindrome (210003202300012).

The spelling of 210001002200000 in words is "two hundred ten trillion, one billion, two million, two hundred thousand".