2134334024100 has 288 divisors, whose sum is σ = 6887664161280. Its totient is φ = 566989056000.

The previous prime is 2134334024087. The next prime is 2134334024149. The reversal of 2134334024100 is 14204334312.

2134334024100 is a `hidden beast` number, since 213 + 4 + 3 + 3 + 402 + 41 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1374328924 + ... + 1374330476.

It is an arithmetic number, because the mean of its divisors is an integer number (23915500560).

Almost surely, 2^{2134334024100} is an apocalyptic number.

2134334024100 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 2134334024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443832080640).

2134334024100 is an abundant number, since it is smaller than the sum of its proper divisors (4753330137180).

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

2134334024100 is a wasteful number, since it uses less digits than its factorization.

2134334024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2134334024100 its reverse (14204334312), we get a palindrome (2148538358412).

The spelling of 2134334024100 in words is "two trillion, one hundred thirty-four billion, three hundred thirty-four million, twenty-four thousand, one hundred".