210010121120202 has 256 divisors, whose sum is σ = 470566294732800. Its totient is φ = 62073205125120.

The previous prime is 210010121120201. The next prime is 210010121120243. The reversal of 210010121120202 is 202021121010012.

It is not an unprimeable number, because it can be changed into a prime (210010121120201) 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 127 ways as a sum of consecutive naturals, for example, 60574016473 + ... + 60574019939.

It is an arithmetic number, because the mean of its divisors is an integer number (1838149588800).

Almost surely, 2^{210010121120202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010121120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235283147366400).

210010121120202 is an abundant number, since it is smaller than the sum of its proper divisors (260556173612598).

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

210010121120202 is a wasteful number, since it uses less digits than its factorization.

210010121120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210010121120202 its reverse (202021121010012), we get a palindrome (412031242130214).

The spelling of 210010121120202 in words is "two hundred ten trillion, ten billion, one hundred twenty-one million, one hundred twenty thousand, two hundred two".