122011211101221 has 48 divisors (see below), whose sum is σ = 196215711619200. Its totient is φ = 72570724502400.

The previous prime is 122011211101207. The next prime is 122011211101237. The reversal of 122011211101221 is 122101112110221.

It is a happy number.

122011211101221 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 211 + 10 + 1 + 221 = 666.

It is not a de Polignac number, because 122011211101221 - 2⁵ = 122011211101189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122011211101194 and 122011211101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011211101261) 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 47 ways as a sum of consecutive naturals, for example, 92672871 + ... + 93980228.

It is an arithmetic number, because the mean of its divisors is an integer number (4087827325400).

Almost surely, 2^{122011211101221} is an apocalyptic number.

It is an amenable number.

122011211101221 is a deficient number, since it is larger than the sum of its proper divisors (74204500517979).

122011211101221 is a wasteful number, since it uses less digits than its factorization.

122011211101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186653306 (or 186653303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122011211101221 its reverse (122101112110221), we get a palindrome (244112323211442).

The spelling of 122011211101221 in words is "one hundred twenty-two trillion, eleven billion, two hundred eleven million, one hundred one thousand, two hundred twenty-one".