10222102120120 has 128 divisors (see below), whose sum is σ = 25473645158400. Its totient is φ = 3660419980800.

The previous prime is 10222102120103. The next prime is 10222102120151. The reversal of 10222102120120 is 2102120122201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10222102120094 and 10222102120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90181641 + ... + 90294919.

It is an arithmetic number, because the mean of its divisors is an integer number (199012852800).

Almost surely, 2^{10222102120120} is an apocalyptic number.

10222102120120 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 10222102120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736822579200).

10222102120120 is an abundant number, since it is smaller than the sum of its proper divisors (15251543038280).

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

10222102120120 is a wasteful number, since it uses less digits than its factorization.

10222102120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116429 (or 116425 counting only the distinct ones).

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

Adding to 10222102120120 its reverse (2102120122201), we get a palindrome (12324222242321).

The spelling of 10222102120120 in words is "ten trillion, two hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred twenty".