122121122010122 has 8 divisors (see below), whose sum is σ = 183181778508672. Its totient is φ = 61060529173900.

The previous prime is 122121122010119. The next prime is 122121122010149. The reversal of 122121122010122 is 221010221121221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-4 number, since 4×122121122010122⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122121122010094 and 122121122010103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10789754 + ... + 18991077.

It is an arithmetic number, because the mean of its divisors is an integer number (22897722313584).

Almost surely, 2^{122121122010122} is an apocalyptic number.

122121122010122 is a deficient number, since it is larger than the sum of its proper divisors (61060656498550).

122121122010122 is a wasteful number, since it uses less digits than its factorization.

122121122010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31831164.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122121122010122 its reverse (221010221121221), we get a palindrome (343131343131343).

The spelling of 122121122010122 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, ten thousand, one hundred twenty-two".