34201044101 has 16 divisors (see below), whose sum is σ = 39272688000. Its totient is φ = 29175963648.

The previous prime is 34201044071. The next prime is 34201044149. The reversal of 34201044101 is 10144010243.

It is a cyclic number.

It is not a de Polignac number, because 34201044101 - 2²⁶ = 34133935237 is a prime.

It is a super-2 number, since 2×34201044101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201044151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5426450 + ... + 5432748.

It is an arithmetic number, because the mean of its divisors is an integer number (2454543000).

Almost surely, 2^34201044101 is an apocalyptic number.

It is an amenable number.

34201044101 is a deficient number, since it is larger than the sum of its proper divisors (5071643899).

34201044101 is a wasteful number, since it uses less digits than its factorization.

34201044101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868.

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

Adding to 34201044101 its reverse (10144010243), we get a palindrome (44345054344).

The spelling of 34201044101 in words is "thirty-four billion, two hundred one million, forty-four thousand, one hundred one".