2141113200000 has 384 divisors, whose sum is σ = 7260150320640. Its totient is φ = 558800640000.

The previous prime is 2141113199993. The next prime is 2141113200007. The reversal of 2141113200000 is 23111412.

It is an interprime number because it is at equal distance from previous prime (2141113199993) and next prime (2141113200007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141113200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56381019 + ... + 56418981.

It is an arithmetic number, because the mean of its divisors is an integer number (18906641460).

Almost surely, 2^{2141113200000} is an apocalyptic number.

2141113200000 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 2141113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630075160320).

2141113200000 is an abundant number, since it is smaller than the sum of its proper divisors (5119037120640).

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

2141113200000 is an frugal number, since it uses more digits than its factorization.

2141113200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38052 (or 38020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2141113200000 its reverse (23111412), we get a palindrome (2141136311412).

The spelling of 2141113200000 in words is "two trillion, one hundred forty-one billion, one hundred thirteen million, two hundred thousand".