334120200011100 has 216 divisors, whose sum is σ = 1081432568885760. Its totient is φ = 86195208528000.

The previous prime is 334120200011077. The next prime is 334120200011153. The reversal of 334120200011100 is 1110002021433.

334120200011100 is a `hidden beast` number, since 3 + 341 + 20 + 200 + 0 + 1 + 1 + 100 = 666.

It is a super-2 number, since 2×334120200011100² (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79960735 + ... + 84035465.

It is an arithmetic number, because the mean of its divisors is an integer number (5006632263360).

Almost surely, 2^{334120200011100} is an apocalyptic number.

334120200011100 is a gapful number since it is divisible by the number (30) 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 334120200011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540716284442880).

334120200011100 is an abundant number, since it is smaller than the sum of its proper divisors (747312368874660).

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

334120200011100 is a wasteful number, since it uses less digits than its factorization.

334120200011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077721 (or 4077711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 334120200011100 its reverse (1110002021433), we get a palindrome (335230202032533).

The spelling of 334120200011100 in words is "three hundred thirty-four trillion, one hundred twenty billion, two hundred million, eleven thousand, one hundred".