2134100322000 has 240 divisors, whose sum is σ = 7458860697600. Its totient is φ = 568699488000.

The previous prime is 2134100321929. The next prime is 2134100322017. The reversal of 2134100322000 is 2230014312.

2134100322000 is a `hidden beast` number, since 2 + 1 + 341 + 0 + 0 + 322 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26437701 + ... + 26518299.

It is an arithmetic number, because the mean of its divisors is an integer number (31078586240).

Almost surely, 2^{2134100322000} is an apocalyptic number.

2134100322000 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 2134100322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729430348800).

2134100322000 is an abundant number, since it is smaller than the sum of its proper divisors (5324760375600).

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

2134100322000 is a wasteful number, since it uses less digits than its factorization.

2134100322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82099 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2134100322000 its reverse (2230014312), we get a palindrome (2136330336312).

The spelling of 2134100322000 in words is "two trillion, one hundred thirty-four billion, one hundred million, three hundred twenty-two thousand".