220210101010120 has 128 divisors (see below), whose sum is σ = 535479610428000. Its totient is φ = 81019998683136.

The previous prime is 220210101010093. The next prime is 220210101010171. The reversal of 220210101010120 is 21010101012022.

It can be written as a sum of positive squares in 16 ways, for example, as 45907210536196 + 174302890473924 = 6775486^2 + 13202382^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 220210101010120.

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 31 ways as a sum of consecutive naturals, for example, 421234656 + ... + 421757104.

Almost surely, 2^{220210101010120} is an apocalyptic number.

220210101010120 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 220210101010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267739805214000).

220210101010120 is an abundant number, since it is smaller than the sum of its proper divisors (315269509417880).

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

220210101010120 is a wasteful number, since it uses less digits than its factorization.

220210101010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525347 (or 525343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220210101010120 its reverse (21010101012022), we get a palindrome (241220202022142).

The spelling of 220210101010120 in words is "two hundred twenty trillion, two hundred ten billion, one hundred one million, ten thousand, one hundred twenty".