2142114000000 has 896 divisors, whose sum is σ = 7931992219200. Its totient is φ = 508569600000.

The previous prime is 2142113999951. The next prime is 2142114000043. The reversal of 2142114000000 is 4112412.

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

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 111 ways as a sum of consecutive naturals, for example, 2261999527 + ... + 2262000473.

Almost surely, 2^{2142114000000} is an apocalyptic number.

2142114000000 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 2142114000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965996109600).

2142114000000 is an abundant number, since it is smaller than the sum of its proper divisors (5789878219200).

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

2142114000000 is an frugal number, since it uses more digits than its factorization.

2142114000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2142114000000 its reverse (4112412), we get a palindrome (2142118112412).

The spelling of 2142114000000 in words is "two trillion, one hundred forty-two billion, one hundred fourteen million", and thus it is an aban number.