122104200221 has 16 divisors (see below), whose sum is σ = 131782171248. Its totient is φ = 112720896000.

The previous prime is 122104200181. The next prime is 122104200247. The reversal of 122104200221 is 122002401221.

It can be written as a sum of positive squares in 8 ways, for example, as 13395516121 + 108708684100 = 115739^2 + 329710^2 .

It is a cyclic number.

It is not a de Polignac number, because 122104200221 - 2¹⁴ = 122104183837 is a prime.

It is a super-2 number, since 2×122104200221² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122104200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122104200271) 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, 47180 + ... + 496421.

It is an arithmetic number, because the mean of its divisors is an integer number (8236385703).

Almost surely, 2^122104200221 is an apocalyptic number.

It is an amenable number.

122104200221 is a deficient number, since it is larger than the sum of its proper divisors (9677971027).

122104200221 is a wasteful number, since it uses less digits than its factorization.

122104200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543872.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122104200221 its reverse (122002401221), we get a palindrome (244106601442).

The spelling of 122104200221 in words is "one hundred twenty-two billion, one hundred four million, two hundred thousand, two hundred twenty-one".