2114314004221 has 16 divisors (see below), whose sum is σ = 2251225856880. Its totient is φ = 1978797219840.

The previous prime is 2114314004207. The next prime is 2114314004261. The reversal of 2114314004221 is 1224004134112.

It can be written as a sum of positive squares in 8 ways, for example, as 204005788900 + 1910308215321 = 451670^2 + 1382139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2114314004221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114314004261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76323445 + ... + 76351141.

It is an arithmetic number, because the mean of its divisors is an integer number (140701616055).

Almost surely, 2^{2114314004221} is an apocalyptic number.

It is an amenable number.

2114314004221 is a deficient number, since it is larger than the sum of its proper divisors (136911852659).

2114314004221 is a wasteful number, since it uses less digits than its factorization.

2114314004221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52704.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2114314004221 its reverse (1224004134112), we get a palindrome (3338318138333).

The spelling of 2114314004221 in words is "two trillion, one hundred fourteen billion, three hundred fourteen million, four thousand, two hundred twenty-one".