122121121000001 has 16 divisors (see below), whose sum is σ = 124081330464000. Its totient is φ = 120177866904000.

The previous prime is 122121120999991. The next prime is 122121121000049. The reversal of 122121121000001 is 100000121121221.

It is a cyclic number.

It is not a de Polignac number, because 122121121000001 - 2²² = 122121116805697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121121000001.

It is not an unprimeable number, because it can be changed into a prime (122121121000051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5392460 + ... + 16532418.

It is an arithmetic number, because the mean of its divisors is an integer number (7755083154000).

Almost surely, 2^{122121121000001} is an apocalyptic number.

It is an amenable number.

122121121000001 is a deficient number, since it is larger than the sum of its proper divisors (1960209463999).

122121121000001 is a wasteful number, since it uses less digits than its factorization.

122121121000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140720.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122121121000001 its reverse (100000121121221), we get a palindrome (222121242121222).

The spelling of 122121121000001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one", and thus it is an aban number.