122101200200221 has 24 divisors (see below), whose sum is σ = 134706955859672. Its totient is φ = 110591111030400.

The previous prime is 122101200200173. The next prime is 122101200200237. The reversal of 122101200200221 is 122002002101221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9401956520121 + 112699243680100 = 3066261^2 + 10615990^2 .

It is not a de Polignac number, because 122101200200221 - 2¹³ = 122101200192029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101200200195 and 122101200200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101200200321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36979171 + ... + 40145503.

Almost surely, 2^{122101200200221} is an apocalyptic number.

122101200200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101200200221 is a deficient number, since it is larger than the sum of its proper divisors (12605755659451).

122101200200221 is a wasteful number, since it uses less digits than its factorization.

122101200200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167533 (or 3167522 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122101200200221 its reverse (122002002101221), we get a palindrome (244103202301442).

The spelling of 122101200200221 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred million, two hundred thousand, two hundred twenty-one".