2201012121220 has 72 divisors (see below), whose sum is σ = 5130820790424. Its totient is φ = 792443520000.

The previous prime is 2201012121173. The next prime is 2201012121221. The reversal of 2201012121220 is 221212101022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1525857385536 + 675154735684 = 1235256^2 + 821678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2201012121194 and 2201012121203.

It is not an unprimeable number, because it can be changed into a prime (2201012121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4258101 + ... + 4746940.

It is an arithmetic number, because the mean of its divisors is an integer number (71261399867).

Almost surely, 2^{2201012121220} is an apocalyptic number.

2201012121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201012121220 is an abundant number, since it is smaller than the sum of its proper divisors (2929808669204).

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

2201012121220 is a wasteful number, since it uses less digits than its factorization.

2201012121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005173 (or 9005160 counting only the distinct ones).

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

Adding to 2201012121220 its reverse (221212101022), we get a palindrome (2422224222242).

It can be divided in two parts, 2201012 and 121220, that added together give a palindrome (2322232).

The spelling of 2201012121220 in words is "two trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, two hundred twenty".