210211222200000 has 1344 divisors, whose sum is σ = 803909346508800. Its totient is φ = 47482744320000.

The previous prime is 210211222199999. The next prime is 210211222200019. The reversal of 210211222200000 is 2222112012.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 136235399229 + ... + 136235400771.

It is an arithmetic number, because the mean of its divisors is an integer number (598146835200).

Almost surely, 2^{210211222200000} is an apocalyptic number.

210211222200000 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 210211222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401954673254400).

210211222200000 is an abundant number, since it is smaller than the sum of its proper divisors (593698124308800).

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

210211222200000 is a wasteful number, since it uses less digits than its factorization.

210211222200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1922 counting only the distinct ones).

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

Adding to 210211222200000 its reverse (2222112012), we get a palindrome (210213444312012).

The spelling of 210211222200000 in words is "two hundred ten trillion, two hundred eleven billion, two hundred twenty-two million, two hundred thousand".