12100105550000 has 120 divisors (see below), whose sum is σ = 31557151431792. Its totient is φ = 4467731040000.

The previous prime is 12100105549997. The next prime is 12100105550003. The reversal of 12100105550000 is 5550100121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12100105549997) and next prime (12100105550003).

It is a super-2 number, since 2×12100105550000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12100105550003) 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 23 ways as a sum of consecutive naturals, for example, 8657774 + ... + 9957773.

Almost surely, 2^{12100105550000} is an apocalyptic number.

12100105550000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100105550000 is an abundant number, since it is smaller than the sum of its proper divisors (19457045881792).

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

12100105550000 is an equidigital number, since it uses as much as digits as its factorization.

12100105550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615593 (or 18615567 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

Adding to 12100105550000 its reverse (5550100121), we get a palindrome (12105655650121).

The spelling of 12100105550000 in words is "twelve trillion, one hundred billion, one hundred five million, five hundred fifty thousand".