2122140410000 has 200 divisors, whose sum is σ = 5569833132864. Its totient is φ = 778363200000.

The previous prime is 2122140409973. The next prime is 2122140410011. The reversal of 2122140410000 is 140412212.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19575947 + ... + 19684053.

Almost surely, 2^{2122140410000} is an apocalyptic number.

2122140410000 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 2122140410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784916566432).

2122140410000 is an abundant number, since it is smaller than the sum of its proper divisors (3447692722864).

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

2122140410000 is a wasteful number, since it uses less digits than its factorization.

2122140410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108299 (or 108278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122140410000 its reverse (140412212), we get a palindrome (2122280822212).

The spelling of 2122140410000 in words is "two trillion, one hundred twenty-two billion, one hundred forty million, four hundred ten thousand".