120210102002010 has 256 divisors, whose sum is σ = 312439047344640. Its totient is φ = 29496744345600.

The previous prime is 120210102001961. The next prime is 120210102002017. The reversal of 120210102002010 is 10200201012021.

It is a super-2 number, since 2×120210102002010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120210102002017) 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, 46359467274 + ... + 46359469866.

It is an arithmetic number, because the mean of its divisors is an integer number (1220465028690).

Almost surely, 2^{120210102002010} is an apocalyptic number.

120210102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210102002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219523672320).

120210102002010 is an abundant number, since it is smaller than the sum of its proper divisors (192228945342630).

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

120210102002010 is a wasteful number, since it uses less digits than its factorization.

120210102002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120210102002010 its reverse (10200201012021), we get a palindrome (130410303014031).

The spelling of 120210102002010 in words is "one hundred twenty trillion, two hundred ten billion, one hundred two million, two thousand, ten".