122101212002121 has 144 divisors (see below), whose sum is σ = 204045347600640. Its totient is φ = 69766816734720.

The previous prime is 122101212002093. The next prime is 122101212002171. The reversal of 122101212002121 is 121200212101221.

122101212002121 is a `hidden beast` number, since 1 + 221 + 0 + 121 + 200 + 2 + 121 = 666.

It is not a de Polignac number, because 122101212002121 - 2¹⁴ = 122101211985737 is a prime.

It is a super-3 number, since 3×122101212002121³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122101212002094 and 122101212002103.

It is not an unprimeable number, because it can be changed into a prime (122101212002171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9161936160 + ... + 9161949486.

It is an arithmetic number, because the mean of its divisors is an integer number (1416981580560).

Almost surely, 2^{122101212002121} is an apocalyptic number.

122101212002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101212002121 is a deficient number, since it is larger than the sum of its proper divisors (81944135598519).

122101212002121 is a wasteful number, since it uses less digits than its factorization.

122101212002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14604 (or 14582 counting only the distinct ones).

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

Adding to 122101212002121 its reverse (121200212101221), we get a palindrome (243301424103342).

The spelling of 122101212002121 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, two thousand, one hundred twenty-one".