122012210200221 has 24 divisors (see below), whose sum is σ = 193323883727520. Its totient is φ = 73538248226400.

The previous prime is 122012210200171. The next prime is 122012210200249. The reversal of 122012210200221 is 122002012210221.

It is a happy number.

122012210200221 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 221 + 0 + 200 + 221 = 666.

It is not a de Polignac number, because 122012210200221 - 2¹⁴ = 122012210183837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122012210200194 and 122012210200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012210200921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3404530611 + ... + 3404566448.

It is an arithmetic number, because the mean of its divisors is an integer number (8055161821980).

Almost surely, 2^{122012210200221} is an apocalyptic number.

122012210200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012210200221 is a deficient number, since it is larger than the sum of its proper divisors (71311673527299).

122012210200221 is a wasteful number, since it uses less digits than its factorization.

122012210200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809097257 (or 6809097254 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122012210200221 its reverse (122002012210221), we get a palindrome (244014222410442).

The spelling of 122012210200221 in words is "one hundred twenty-two trillion, twelve billion, two hundred ten million, two hundred thousand, two hundred twenty-one".