122021020112121 has 96 divisors (see below), whose sum is σ = 193104750384000. Its totient is φ = 73797074334720.

The previous prime is 122021020112059. The next prime is 122021020112141. The reversal of 122021020112121 is 121211020120221.

122021020112121 is a `hidden beast` number, since 1 + 220 + 210 + 2 + 0 + 112 + 121 = 666.

It is not a de Polignac number, because 122021020112121 - 2¹⁵ = 122021020079353 is a prime.

It is a super-2 number, since 2×122021020112121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122021020112094 and 122021020112103.

It is not an unprimeable number, because it can be changed into a prime (122021020112141) 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 95 ways as a sum of consecutive naturals, for example, 9315286230 + ... + 9315299328.

It is an arithmetic number, because the mean of its divisors is an integer number (2011507816500).

Almost surely, 2^{122021020112121} is an apocalyptic number.

It is an amenable number.

122021020112121 is a deficient number, since it is larger than the sum of its proper divisors (71083730271879).

122021020112121 is a wasteful number, since it uses less digits than its factorization.

122021020112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18551 (or 18548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122021020112121 its reverse (121211020120221), we get a palindrome (243232040232342).

The spelling of 122021020112121 in words is "one hundred twenty-two trillion, twenty-one billion, twenty million, one hundred twelve thousand, one hundred twenty-one".