210022022122002 has 160 divisors (see below), whose sum is σ = 493191533818368. Its totient is φ = 66674113317504.

The previous prime is 210022022122001. The next prime is 210022022122009. The reversal of 210022022122002 is 200221220220012.

210022022122002 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 220 + 221 + 220 + 0 + 2 = 666.

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 (210022022122001) 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 79 ways as a sum of consecutive naturals, for example, 1204077748 + ... + 1204252160.

Almost surely, 2^{210022022122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022022122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246595766909184).

210022022122002 is an abundant number, since it is smaller than the sum of its proper divisors (283169511696366).

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

210022022122002 is a wasteful number, since it uses less digits than its factorization.

210022022122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175846 (or 175837 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 210022022122002 its reverse (200221220220012), we get a palindrome (410243242342014).

The spelling of 210022022122002 in words is "two hundred ten trillion, twenty-two billion, twenty-two million, one hundred twenty-two thousand, two".