12122121101001 has 16 divisors (see below), whose sum is σ = 16269060463488. Its totient is φ = 8028354147200.

The previous prime is 12122121100997. The next prime is 12122121101063. The reversal of 12122121101001 is 10010112122121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12122121101001 - 2² = 12122121100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122121101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6167370 + ... + 7891811.

It is an arithmetic number, because the mean of its divisors is an integer number (1016816278968).

Almost surely, 2^{12122121101001} is an apocalyptic number.

It is an amenable number.

12122121101001 is a deficient number, since it is larger than the sum of its proper divisors (4146939362487).

12122121101001 is a wasteful number, since it uses less digits than its factorization.

12122121101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14061072.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122121101001 its reverse (10010112122121), we get a palindrome (22132233223122).

The spelling of 12122121101001 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, one".