2214413312121 has 48 divisors (see below), whose sum is σ = 3439098374400. Its totient is φ = 1368814015584.

The previous prime is 2214413312113. The next prime is 2214413312143. The reversal of 2214413312121 is 1212133144122.

2214413312121 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 413 + 31 + 212 + 1 = 666.

It is not a de Polignac number, because 2214413312121 - 2³ = 2214413312113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2214413312171) 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 47 ways as a sum of consecutive naturals, for example, 1806750 + ... + 2773656.

It is an arithmetic number, because the mean of its divisors is an integer number (71647882800).

Almost surely, 2^{2214413312121} is an apocalyptic number.

It is an amenable number.

2214413312121 is a deficient number, since it is larger than the sum of its proper divisors (1224685062279).

2214413312121 is a wasteful number, since it uses less digits than its factorization.

2214413312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967218 (or 967215 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 2214413312121 its reverse (1212133144122), we get a palindrome (3426546456243).

The spelling of 2214413312121 in words is "two trillion, two hundred fourteen billion, four hundred thirteen million, three hundred twelve thousand, one hundred twenty-one".