122120021002221 has 64 divisors (see below), whose sum is σ = 198087644160000. Its totient is φ = 73741635748800.

The previous prime is 122120021002163. The next prime is 122120021002223. The reversal of 122120021002221 is 122200120021221.

It is a happy number.

122120021002221 is a `hidden beast` number, since 1 + 221 + 200 + 21 + 0 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 122120021002221 - 2²² = 122120016807917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120021002194 and 122120021002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120021002223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187879416 + ... + 188528286.

It is an arithmetic number, because the mean of its divisors is an integer number (3095119440000).

Almost surely, 2^{122120021002221} is an apocalyptic number.

122120021002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122120021002221 is a deficient number, since it is larger than the sum of its proper divisors (75967623157779).

122120021002221 is a wasteful number, since it uses less digits than its factorization.

122120021002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651207 (or 651201 counting only the distinct ones).

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

Adding to 122120021002221 its reverse (122200120021221), we get a palindrome (244320141023442).

The spelling of 122120021002221 in words is "one hundred twenty-two trillion, one hundred twenty billion, twenty-one million, two thousand, two hundred twenty-one".