34114200102200 has 96 divisors (see below), whose sum is σ = 82768711615200. Its totient is φ = 13051649064960.

The previous prime is 34114200102161. The next prime is 34114200102209. The reversal of 34114200102200 is 220100241143.

It is a super-2 number, since 2×34114200102200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114200102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84590636 + ... + 84992964.

It is an arithmetic number, because the mean of its divisors is an integer number (862174079325).

Almost surely, 2^{34114200102200} is an apocalyptic number.

It is an amenable number.

34114200102200 is an abundant number, since it is smaller than the sum of its proper divisors (48654511513000).

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

34114200102200 is a wasteful number, since it uses less digits than its factorization.

34114200102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420801 (or 420792 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34114200102200 its reverse (220100241143), we get a palindrome (34334300343343).

The spelling of 34114200102200 in words is "thirty-four trillion, one hundred fourteen billion, two hundred million, one hundred two thousand, two hundred".