334800105201 has 12 divisors (see below), whose sum is σ = 492724683828. Its totient is φ = 218988747744.

The previous prime is 334800105187. The next prime is 334800105221. The reversal of 334800105201 is 102501008433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 287210246400 + 47589858801 = 535920^2 + 218151^2 .

It is not a de Polignac number, because 334800105201 - 2⁹ = 334800104689 is a prime.

It is a super-2 number, since 2×334800105201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334800105221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350943030 + ... + 350943983.

It is an arithmetic number, because the mean of its divisors is an integer number (41060390319).

Almost surely, 2^334800105201 is an apocalyptic number.

It is an amenable number.

334800105201 is a deficient number, since it is larger than the sum of its proper divisors (157924578627).

334800105201 is a wasteful number, since it uses less digits than its factorization.

334800105201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701887072 (or 701887069 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 334800105201 in words is "three hundred thirty-four billion, eight hundred million, one hundred five thousand, two hundred one".