8214120021 has 32 divisors (see below), whose sum is σ = 11347459200. Its totient is φ = 5281920000.

The previous prime is 8214119999. The next prime is 8214120029. The reversal of 8214120021 is 1200214128.

It is not a de Polignac number, because 8214120021 - 2⁹ = 8214119509 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8214120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214120029) 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 31 ways as a sum of consecutive naturals, for example, 7829905 + ... + 7830953.

It is an arithmetic number, because the mean of its divisors is an integer number (354608100).

Almost surely, 2^8214120021 is an apocalyptic number.

It is an amenable number.

8214120021 is a deficient number, since it is larger than the sum of its proper divisors (3133339179).

8214120021 is a wasteful number, since it uses less digits than its factorization.

8214120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8214120021 is about 90631.7826206679. The cubic root of 8214120021 is about 2017.6864684564.

Adding to 8214120021 its reverse (1200214128), we get a palindrome (9414334149).

The spelling of 8214120021 in words is "eight billion, two hundred fourteen million, one hundred twenty thousand, twenty-one".