2200200010120 has 128 divisors (see below), whose sum is σ = 5700834639360. Its totient is φ = 748612085760.

The previous prime is 2200200010117. The next prime is 2200200010123. The reversal of 2200200010120 is 210100020022.

It is an interprime number because it is at equal distance from previous prime (2200200010117) and next prime (2200200010123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2200200010097 and 2200200010106.

It is not an unprimeable number, because it can be changed into a prime (2200200010123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28812790 + ... + 28889050.

It is an arithmetic number, because the mean of its divisors is an integer number (44537770620).

Almost surely, 2^{2200200010120} is an apocalyptic number.

2200200010120 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 2200200010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850417319680).

2200200010120 is an abundant number, since it is smaller than the sum of its proper divisors (3500634629240).

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

2200200010120 is a wasteful number, since it uses less digits than its factorization.

2200200010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77063 (or 77059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2200200010120 its reverse (210100020022), we get a palindrome (2410300030142).

The spelling of 2200200010120 in words is "two trillion, two hundred billion, two hundred million, ten thousand, one hundred twenty".