210013200022120 has 128 divisors (see below), whose sum is σ = 546223538361600. Its totient is φ = 71821679104000.

The previous prime is 210013200022097. The next prime is 210013200022127. The reversal of 210013200022120 is 21220002310012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210013200022094 and 210013200022103.

It is not an unprimeable number, because it can be changed into a prime (210013200022127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 777031 + ... + 20509270.

It is an arithmetic number, because the mean of its divisors is an integer number (4267371393450).

Almost surely, 2^{210013200022120} is an apocalyptic number.

210013200022120 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 210013200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273111769180800).

210013200022120 is an abundant number, since it is smaller than the sum of its proper divisors (336210338339480).

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

210013200022120 is a wasteful number, since it uses less digits than its factorization.

210013200022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21287659 (or 21287655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210013200022120 its reverse (21220002310012), we get a palindrome (231233202332132).

The spelling of 210013200022120 in words is "two hundred ten trillion, thirteen billion, two hundred million, twenty-two thousand, one hundred twenty".