210022122120102 has 192 divisors, whose sum is σ = 492912770688000. Its totient is φ = 64425700145664.

The previous prime is 210022122120089. The next prime is 210022122120127. The reversal of 210022122120102 is 201021221220012.

It is a happy number.

210022122120102 is a `hidden beast` number, since 2 + 100 + 221 + 221 + 20 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1464384948 + ... + 1464528360.

It is an arithmetic number, because the mean of its divisors is an integer number (2567254014000).

Almost surely, 2^{210022122120102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022122120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246456385344000).

210022122120102 is an abundant number, since it is smaller than the sum of its proper divisors (282890648567898).

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

210022122120102 is a wasteful number, since it uses less digits than its factorization.

210022122120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144395 (or 144392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210022122120102 its reverse (201021221220012), we get a palindrome (411043343340114).

The spelling of 210022122120102 in words is "two hundred ten trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred two".