122101221012221 has 12 divisors (see below), whose sum is σ = 134289427020000. Its totient is φ = 110935776622440.

The previous prime is 122101221012209. The next prime is 122101221012343. The reversal of 122101221012221 is 122210122101221.

It is not a de Polignac number, because 122101221012221 - 2²⁶ = 122101153903357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101221012193 and 122101221012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101221012821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296763521 + ... + 297174678.

It is an arithmetic number, because the mean of its divisors is an integer number (11190785585000).

Almost surely, 2^{122101221012221} is an apocalyptic number.

122101221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101221012221 is a deficient number, since it is larger than the sum of its proper divisors (12188206007779).

122101221012221 is a wasteful number, since it uses less digits than its factorization.

122101221012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593939920 (or 593939909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122101221012221 its reverse (122210122101221), we get a palindrome (244311343113442).

The spelling of 122101221012221 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".