210002212000 has 384 divisors, whose sum is σ = 622702080000. Its totient is φ = 67994035200.

The previous prime is 210002211997. The next prime is 210002212003. The reversal of 210002212000 is 212200012.

It is an interprime number because it is at equal distance from previous prime (210002211997) and next prime (210002212003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210002212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318667671 + ... + 318668329.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620000).

Almost surely, 2^210002212000 is an apocalyptic number.

210002212000 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 210002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040000).

210002212000 is an abundant number, since it is smaller than the sum of its proper divisors (412699868000).

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

210002212000 is a wasteful number, since it uses less digits than its factorization.

210002212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210002212000 its reverse (212200012), we get a palindrome (210214412012).

The spelling of 210002212000 in words is "two hundred ten billion, two million, two hundred twelve thousand".