2100123180000 has 480 divisors, whose sum is σ = 7667354661120. Its totient is φ = 559074240000.

The previous prime is 2100123179989. The next prime is 2100123180013. The reversal of 2100123180000 is 813210012.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349376995 + ... + 349383005.

It is an arithmetic number, because the mean of its divisors is an integer number (15973655544).

Almost surely, 2^{2100123180000} is an apocalyptic number.

2100123180000 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 2100123180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833677330560).

2100123180000 is an abundant number, since it is smaller than the sum of its proper divisors (5567231481120).

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

2100123180000 is an equidigital number, since it uses as much as digits as its factorization.

2100123180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2100123180000 its reverse (813210012), we get a palindrome (2100936390012).

The spelling of 2100123180000 in words is "two trillion, one hundred billion, one hundred twenty-three million, one hundred eighty thousand".