10120122102220 has 144 divisors (see below), whose sum is σ = 24493090396320. Its totient is φ = 3481955112960.

The previous prime is 10120122102217. The next prime is 10120122102253. The reversal of 10120122102220 is 2220122102101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10120122102194 and 10120122102203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18106464 + ... + 18657016.

It is an arithmetic number, because the mean of its divisors is an integer number (170090905530).

Almost surely, 2^{10120122102220} is an apocalyptic number.

10120122102220 is a gapful number since it is divisible by the number (10) 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 10120122102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246545198160).

10120122102220 is an abundant number, since it is smaller than the sum of its proper divisors (14372968294100).

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

10120122102220 is a wasteful number, since it uses less digits than its factorization.

10120122102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550716 (or 550653 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10120122102220 its reverse (2220122102101), we get a palindrome (12340244204321).

The spelling of 10120122102220 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".