12122102122121 has 8 divisors (see below), whose sum is σ = 12835197930024. Its totient is φ = 11409009756160.

The previous prime is 12122102122063. The next prime is 12122102122133. The reversal of 12122102122121 is 12122120122121.

It can be written as a sum of positive squares in 4 ways, for example, as 1256271097225 + 10865831024896 = 1120835^2 + 3296336^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12122102122121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122102122093 and 12122102122102.

It is not an unprimeable number, because it can be changed into a prime (12122102121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11303441 + ... + 12329313.

It is an arithmetic number, because the mean of its divisors is an integer number (1604399741253).

Almost surely, 2^{12122102122121} is an apocalyptic number.

It is an amenable number.

12122102122121 is a deficient number, since it is larger than the sum of its proper divisors (713095807903).

12122102122121 is a wasteful number, since it uses less digits than its factorization.

12122102122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720971.

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

Adding to 12122102122121 its reverse (12122120122121), we get a palindrome (24244222244242).

The spelling of 12122102122121 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".