12102112210001 has 24 divisors (see below), whose sum is σ = 13383284110560. Its totient is φ = 10935019916480.

The previous prime is 12102112209989. The next prime is 12102112210021. The reversal of 12102112210001 is 10001221120121.

It is a de Polignac number, because none of the positive numbers 2^k-12102112210001 is a prime.

It is a super-3 number, since 3×12102112210001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102112210021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43764965 + ... + 44040621.

It is an arithmetic number, because the mean of its divisors is an integer number (557636837940).

Almost surely, 2^{12102112210001} is an apocalyptic number.

12102112210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102112210001 is a deficient number, since it is larger than the sum of its proper divisors (1281171900559).

12102112210001 is a wasteful number, since it uses less digits than its factorization.

12102112210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277885 (or 277874 counting only the distinct ones).

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

Adding to 12102112210001 its reverse (10001221120121), we get a palindrome (22103333330122).

The spelling of 12102112210001 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand, one".