2124100000000 has 324 divisors, whose sum is σ = 5784676725744. Its totient is φ = 772000000000.

The previous prime is 2124099999961. The next prime is 2124100000003. The reversal of 2124100000000 is 14212.

2124100000000 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

2124100000000 is strictly pandigital in base 12.

It is not an unprimeable number, because it can be changed into a prime (2124100000003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1099999035 + ... + 1100000965.

Almost surely, 2^{2124100000000} is an apocalyptic number.

2124100000000 is a gapful number since it is divisible by the number (20) 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 2124100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892338362872).

2124100000000 is an abundant number, since it is smaller than the sum of its proper divisors (3660576725744).

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

2124100000000 is an frugal number, since it uses more digits than its factorization.

2124100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2124100000000 its reverse (14212), we get a palindrome (2124100014212).

The spelling of 2124100000000 in words is "two trillion, one hundred twenty-four billion, one hundred million", and thus it is an aban number.