12109051142100 has 216 divisors, whose sum is σ = 41411274821280. Its totient is φ = 2935126368000.

The previous prime is 12109051142087. The next prime is 12109051142113. The reversal of 12109051142100 is 124115090121.

12109051142100 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 9 + 0 + 511 + 42 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (12109051142087) and next prime (12109051142113).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75843355 + ... + 76002845.

Almost surely, 2^{12109051142100} is an apocalyptic number.

12109051142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109051142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705637410640).

12109051142100 is an abundant number, since it is smaller than the sum of its proper divisors (29302223679180).

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

12109051142100 is a wasteful number, since it uses less digits than its factorization.

12109051142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167191 (or 167181 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 12109051142100 in words is "twelve trillion, one hundred nine billion, fifty-one million, one hundred forty-two thousand, one hundred".