2142101143314 has 256 divisors, whose sum is σ = 5652061286400. Its totient is φ = 599475159360.

The previous prime is 2142101143279. The next prime is 2142101143333. The reversal of 2142101143314 is 4133411012412.

It is a happy number.

2142101143314 is a `hidden beast` number, since 2 + 1 + 4 + 210 + 1 + 1 + 433 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47917617 + ... + 47962299.

It is an arithmetic number, because the mean of its divisors is an integer number (22078364400).

Almost surely, 2^{2142101143314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142101143314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826030643200).

2142101143314 is an abundant number, since it is smaller than the sum of its proper divisors (3509960143086).

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

2142101143314 is a wasteful number, since it uses less digits than its factorization.

2142101143314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44779 (or 44751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2142101143314 its reverse (4133411012412), we get a palindrome (6275512155726).

The spelling of 2142101143314 in words is "two trillion, one hundred forty-two billion, one hundred one million, one hundred forty-three thousand, three hundred fourteen".