122011002102121 has 32 divisors (see below), whose sum is σ = 142474696056576. Its totient is φ = 103258003200000.

The previous prime is 122011002102043. The next prime is 122011002102289. The reversal of 122011002102121 is 121201200110221.

It is not a de Polignac number, because 122011002102121 - 2³⁹ = 121461246288233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122011002102095 and 122011002102104.

It is not an unprimeable number, because it can be changed into a prime (122011002132121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2693230 + ... + 15851671.

It is an arithmetic number, because the mean of its divisors is an integer number (4452334251768).

Almost surely, 2^{122011002102121} is an apocalyptic number.

122011002102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011002102121 is a deficient number, since it is larger than the sum of its proper divisors (20463693954455).

122011002102121 is a wasteful number, since it uses less digits than its factorization.

122011002102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545313.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122011002102121 its reverse (121201200110221), we get a palindrome (243212202212342).

The spelling of 122011002102121 in words is "one hundred twenty-two trillion, eleven billion, two million, one hundred two thousand, one hundred twenty-one".