2212102201120 has 144 divisors (see below), whose sum is σ = 6275439007488. Its totient is φ = 733969313280.

The previous prime is 2212102201117. The next prime is 2212102201159. The reversal of 2212102201120 is 211022012122.

It is a happy number.

It is a super-2 number, since 2×2212102201120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212102201094 and 2212102201103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4307862 + ... + 4793941.

It is an arithmetic number, because the mean of its divisors is an integer number (43579437552).

Almost surely, 2^{2212102201120} is an apocalyptic number.

2212102201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212102201120 is an abundant number, since it is smaller than the sum of its proper divisors (4063336806368).

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

2212102201120 is a wasteful number, since it uses less digits than its factorization.

2212102201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101863 (or 9101848 counting only the distinct ones).

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

Adding to 2212102201120 its reverse (211022012122), we get a palindrome (2423124213242).

The spelling of 2212102201120 in words is "two trillion, two hundred twelve billion, one hundred two million, two hundred one thousand, one hundred twenty".