10120120110210 has 256 divisors, whose sum is σ = 27820515115008. Its totient is φ = 2333928038400.

The previous prime is 10120120110197. The next prime is 10120120110223. The reversal of 10120120110210 is 1201102102101.

It is an interprime number because it is at equal distance from previous prime (10120120110197) and next prime (10120120110223).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353132202 + ... + 353160858.

It is an arithmetic number, because the mean of its divisors is an integer number (108673887168).

Almost surely, 2^{10120120110210} is an apocalyptic number.

10120120110210 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 10120120110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910257557504).

10120120110210 is an abundant number, since it is smaller than the sum of its proper divisors (17700395004798).

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

10120120110210 is a wasteful number, since it uses less digits than its factorization.

10120120110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29369.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120120110210 its reverse (1201102102101), we get a palindrome (11321222212311).

The spelling of 10120120110210 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, one hundred ten thousand, two hundred ten".