210222322100010 has 768 divisors, whose sum is σ = 667431841628160. Its totient is φ = 46927417996800.

The previous prime is 210222322099931. The next prime is 210222322100017. The reversal of 210222322100010 is 10001223222012.

210222322100010 is a `hidden beast` number, since 2 + 10 + 222 + 322 + 100 + 0 + 10 = 666.

It is a super-3 number, since 3×210222322100010³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (210222322100017) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2154243679 + ... + 2154341261.

It is an arithmetic number, because the mean of its divisors is an integer number (869051877120).

Almost surely, 2^{210222322100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210222322100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333715920814080).

210222322100010 is an abundant number, since it is smaller than the sum of its proper divisors (457209519528150).

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

210222322100010 is a wasteful number, since it uses less digits than its factorization.

210222322100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97752 (or 97735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210222322100010 its reverse (10001223222012), we get a palindrome (220223545322022).

The spelling of 210222322100010 in words is "two hundred ten trillion, two hundred twenty-two billion, three hundred twenty-two million, one hundred thousand, ten".