12122100110000 has 100 divisors (see below), whose sum is σ = 29902569139872. Its totient is φ = 4757352288000.

The previous prime is 12122100109991. The next prime is 12122100110009. The reversal of 12122100110000 is 1100122121.

It is an interprime number because it is at equal distance from previous prime (12122100109991) and next prime (12122100110009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×12122100110000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122100110009) 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 19 ways as a sum of consecutive naturals, for example, 10905944 + ... + 11965943.

Almost surely, 2^{12122100110000} is an apocalyptic number.

12122100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122100110000 is an abundant number, since it is smaller than the sum of its proper divisors (17780469029872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122100110000 is an equidigital number, since it uses as much as digits as its factorization.

12122100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22871968 (or 22871947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12122100110000 its reverse (1100122121), we get a palindrome (12123200232121).

The spelling of 12122100110000 in words is "twelve trillion, one hundred twenty-two billion, one hundred million, one hundred ten thousand".