10120320220110 has 192 divisors, whose sum is σ = 25206372052992. Its totient is φ = 2599317952000.

The previous prime is 10120320220069. The next prime is 10120320220121. The reversal of 10120320220110 is 1102202302101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120320220110.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5409042475 + ... + 5409044345.

It is an arithmetic number, because the mean of its divisors is an integer number (131283187776).

Almost surely, 2^{10120320220110} is an apocalyptic number.

10120320220110 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 10120320220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603186026496).

10120320220110 is an abundant number, since it is smaller than the sum of its proper divisors (15086051832882).

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

10120320220110 is a wasteful number, since it uses less digits than its factorization.

10120320220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10120320220110 its reverse (1102202302101), we get a palindrome (11222522522211).

The spelling of 10120320220110 in words is "ten trillion, one hundred twenty billion, three hundred twenty million, two hundred twenty thousand, one hundred ten".