2221210311201 has 40 divisors (see below), whose sum is σ = 3792286903680. Its totient is φ = 1269206900352.

The previous prime is 2221210311193. The next prime is 2221210311217. The reversal of 2221210311201 is 1021130121222.

2221210311201 is a `hidden beast` number, since 2 + 221 + 210 + 31 + 1 + 201 = 666.

It is not a de Polignac number, because 2221210311201 - 2³ = 2221210311193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221210310201) 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 39 ways as a sum of consecutive naturals, for example, 15086620 + ... + 15233138.

It is an arithmetic number, because the mean of its divisors is an integer number (94807172592).

Almost surely, 2^{2221210311201} is an apocalyptic number.

2221210311201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2221210311201 is a deficient number, since it is larger than the sum of its proper divisors (1571076592479).

2221210311201 is a wasteful number, since it uses less digits than its factorization.

2221210311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173275 (or 173266 counting only the distinct ones).

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

Adding to 2221210311201 its reverse (1021130121222), we get a palindrome (3242340432423).

The spelling of 2221210311201 in words is "two trillion, two hundred twenty-one billion, two hundred ten million, three hundred eleven thousand, two hundred one".