12122101100013 has 8 divisors (see below), whose sum is σ = 17113554494208. Its totient is φ = 7606024219584.

The previous prime is 12122101099991. The next prime is 12122101100017. The reversal of 12122101100013 is 31000110122121.

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

It is not a de Polignac number, because 12122101100013 - 2⁹ = 12122101099501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122101099965 and 12122101100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122101100017) 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, 118844128381 + ... + 118844128482.

It is an arithmetic number, because the mean of its divisors is an integer number (2139194311776).

Almost surely, 2^{12122101100013} is an apocalyptic number.

It is an amenable number.

12122101100013 is a deficient number, since it is larger than the sum of its proper divisors (4991453394195).

12122101100013 is a wasteful number, since it uses less digits than its factorization.

12122101100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237688256883.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12122101100013 its reverse (31000110122121), we get a palindrome (43122211222134).

The spelling of 12122101100013 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred thousand, thirteen".