122100210200221 has 16 divisors (see below), whose sum is σ = 133348287404160. Its totient is φ = 110876830629120.

The previous prime is 122100210200209. The next prime is 122100210200233. The reversal of 122100210200221 is 122002012001221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122100210200209) and next prime (122100210200233).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122100210200221 is a prime.

It is a super-2 number, since 2×122100210200221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100210200195 and 122100210200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100210200261) 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 15 ways as a sum of consecutive naturals, for example, 115486441 + ... + 116538913.

It is an arithmetic number, because the mean of its divisors is an integer number (8334267962760).

Almost surely, 2^{122100210200221} is an apocalyptic number.

122100210200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100210200221 is a deficient number, since it is larger than the sum of its proper divisors (11248077203939).

122100210200221 is a wasteful number, since it uses less digits than its factorization.

122100210200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064196.

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

Adding to 122100210200221 its reverse (122002012001221), we get a palindrome (244102222201442).

The spelling of 122100210200221 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, two hundred thousand, two hundred twenty-one".