334002112101 has 48 divisors (see below), whose sum is σ = 553667587200. Its totient is φ = 190064185344.

The previous prime is 334002112063. The next prime is 334002112247. The reversal of 334002112101 is 101211200433.

334002112101 is a `hidden beast` number, since 33 + 400 + 21 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 334002112101 - 2¹⁰ = 334002111077 is a prime.

It is a super-2 number, since 2×334002112101² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334002112501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15220105 + ... + 15242033.

It is an arithmetic number, because the mean of its divisors is an integer number (11534741400).

Almost surely, 2^334002112101 is an apocalyptic number.

It is an amenable number.

334002112101 is a deficient number, since it is larger than the sum of its proper divisors (219665475099).

334002112101 is a wasteful number, since it uses less digits than its factorization.

334002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22938 (or 22935 counting only the distinct ones).

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

Adding to 334002112101 its reverse (101211200433), we get a palindrome (435213312534).

The spelling of 334002112101 in words is "three hundred thirty-four billion, two million, one hundred twelve thousand, one hundred one".