34101014200 has 96 divisors (see below), whose sum is σ = 86601778560. Its totient is φ = 12384713600.

The previous prime is 34101014179. The next prime is 34101014261. The reversal of 34101014200 is 241010143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1810029 + ... + 1828771.

It is an arithmetic number, because the mean of its divisors is an integer number (902101860).

Almost surely, 2^34101014200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43300889280).

34101014200 is an abundant number, since it is smaller than the sum of its proper divisors (52500764360).

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

34101014200 is a wasteful number, since it uses less digits than its factorization.

34101014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19597 (or 19588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34101014200 its reverse (241010143), we get a palindrome (34342024343).

The spelling of 34101014200 in words is "thirty-four billion, one hundred one million, fourteen thousand, two hundred".