210002000122120 has 384 divisors, whose sum is σ = 507906178617600. Its totient is φ = 78118566699008.

The previous prime is 210002000122069. The next prime is 210002000122129. The reversal of 210002000122120 is 21221000200012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 210002000122120.

It is not an unprimeable number, because it can be changed into a prime (210002000122129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27606411357 + ... + 27606418963.

It is an arithmetic number, because the mean of its divisors is an integer number (1322672340150).

Almost surely, 2^{210002000122120} is an apocalyptic number.

210002000122120 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 210002000122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253953089308800).

210002000122120 is an abundant number, since it is smaller than the sum of its proper divisors (297904178495480).

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

210002000122120 is a wasteful number, since it uses less digits than its factorization.

210002000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210002000122120 its reverse (21221000200012), we get a palindrome (231223000322132).

The spelling of 210002000122120 in words is "two hundred ten trillion, two billion, one hundred twenty-two thousand, one hundred twenty".