34100414201 has 16 divisors (see below), whose sum is σ = 39337726464. Its totient is φ = 28954834944.

The previous prime is 34100414171. The next prime is 34100414239. The reversal of 34100414201 is 10241400143.

It is not a de Polignac number, because 34100414201 - 2¹⁰ = 34100413177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34100414251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621385 + ... + 1642281.

It is an arithmetic number, because the mean of its divisors is an integer number (2458607904).

Almost surely, 2^34100414201 is an apocalyptic number.

It is an amenable number.

34100414201 is a deficient number, since it is larger than the sum of its proper divisors (5237312263).

34100414201 is a wasteful number, since it uses less digits than its factorization.

34100414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23080.

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

Adding to 34100414201 its reverse (10241400143), we get a palindrome (44341814344).

The spelling of 34100414201 in words is "thirty-four billion, one hundred million, four hundred fourteen thousand, two hundred one".