2201012121321 has 48 divisors (see below), whose sum is σ = 3505062676752. Its totient is φ = 1322687232000.

The previous prime is 2201012121317. The next prime is 2201012121349. The reversal of 2201012121321 is 1231212101022.

2201012121321 is a `hidden beast` number, since 2 + 201 + 0 + 121 + 21 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97366465296 + 2103645656025 = 312036^2 + 1450395^2 .

It is not a de Polignac number, because 2201012121321 - 2² = 2201012121317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201012121294 and 2201012121303.

It is not an unprimeable number, because it can be changed into a prime (2201012121361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413100 + ... + 2138381.

It is an arithmetic number, because the mean of its divisors is an integer number (73022139099).

Almost surely, 2^{2201012121321} is an apocalyptic number.

It is an amenable number.

2201012121321 is a deficient number, since it is larger than the sum of its proper divisors (1304050555431).

2201012121321 is a wasteful number, since it uses less digits than its factorization.

2201012121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551674 (or 2551671 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2201012121321 its reverse (1231212101022), we get a palindrome (3432224222343).

The spelling of 2201012121321 in words is "two trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, three hundred twenty-one".