2201221100120 has 64 divisors (see below), whose sum is σ = 5674122446400. Its totient is φ = 752859095040.

The previous prime is 2201221100069. The next prime is 2201221100149. The reversal of 2201221100120 is 210011221022.

It is a super-2 number, since 2×2201221100120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2201221100095 and 2201221100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9496121 + ... + 9725160.

It is an arithmetic number, because the mean of its divisors is an integer number (88658163225).

Almost surely, 2^{2201221100120} is an apocalyptic number.

2201221100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201221100120 is an abundant number, since it is smaller than the sum of its proper divisors (3472901346280).

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

2201221100120 is a wasteful number, since it uses less digits than its factorization.

2201221100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19221708 (or 19221704 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201221100120 its reverse (210011221022), we get a palindrome (2411232321142).

The spelling of 2201221100120 in words is "two trillion, two hundred one billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".