210201212122000 has 320 divisors, whose sum is σ = 572569049235456. Its totient is φ = 73943928000000.

The previous prime is 210201212121893. The next prime is 210201212122019. The reversal of 210201212122000 is 221212102012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1903406785 + ... + 1903517215.

Almost surely, 2^{210201212122000} is an apocalyptic number.

210201212122000 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 210201212122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286284524617728).

210201212122000 is an abundant number, since it is smaller than the sum of its proper divisors (362367837113456).

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

210201212122000 is a wasteful number, since it uses less digits than its factorization.

210201212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113287 (or 113271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210201212122000 its reverse (221212102012), we get a palindrome (210422424224012).

The spelling of 210201212122000 in words is "two hundred ten trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand".