10002222120120 has 128 divisors (see below), whose sum is σ = 30336425985600. Its totient is φ = 2637984301056.

The previous prime is 10002222120031. The next prime is 10002222120197. The reversal of 10002222120120 is 2102122220001.

10002222120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10002222120120.

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, 17043412 + ... + 17620508.

Almost surely, 2^{10002222120120} is an apocalyptic number.

10002222120120 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 10002222120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168212992800).

10002222120120 is an abundant number, since it is smaller than the sum of its proper divisors (20334203865480).

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

10002222120120 is a wasteful number, since it uses less digits than its factorization.

10002222120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578697 (or 578693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002222120120 its reverse (2102122220001), we get a palindrome (12104344340121).

The spelling of 10002222120120 in words is "ten trillion, two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty".