122011002122121 has 128 divisors (see below), whose sum is σ = 208830873600000. Its totient is φ = 68965268106240.

The previous prime is 122011002122071. The next prime is 122011002122143. The reversal of 122011002122121 is 121221200110221.

122011002122121 is a `hidden beast` number, since 1 + 220 + 110 + 0 + 212 + 2 + 121 = 666.

It is not a de Polignac number, because 122011002122121 - 2¹⁴ = 122011002105737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122011002122094 and 122011002122103.

It is not an unprimeable number, because it can be changed into a prime (122011002122171) 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 127 ways as a sum of consecutive naturals, for example, 14863073265 + ... + 14863081473.

It is an arithmetic number, because the mean of its divisors is an integer number (1631491200000).

Almost surely, 2^{122011002122121} is an apocalyptic number.

It is an amenable number.

122011002122121 is a deficient number, since it is larger than the sum of its proper divisors (86819871477879).

122011002122121 is a wasteful number, since it uses less digits than its factorization.

122011002122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10678 counting only the distinct ones).

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

Adding to 122011002122121 its reverse (121221200110221), we get a palindrome (243232202232342).

The spelling of 122011002122121 in words is "one hundred twenty-two trillion, eleven billion, two million, one hundred twenty-two thousand, one hundred twenty-one".