34201000411101 has 48 divisors (see below), whose sum is σ = 50395488823680. Its totient is φ = 22345652736000.

The previous prime is 34201000411091. The next prime is 34201000411121. The reversal of 34201000411101 is 10111400010243.

34201000411101 is a `hidden beast` number, since 3 + 420 + 100 + 0 + 41 + 1 + 101 = 666.

It is not a de Polignac number, because 34201000411101 - 2⁶ = 34201000411037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201000411121) 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, 93262101 + ... + 93628101.

It is an arithmetic number, because the mean of its divisors is an integer number (1049906017160).

Almost surely, 2^{34201000411101} is an apocalyptic number.

It is an amenable number.

34201000411101 is a deficient number, since it is larger than the sum of its proper divisors (16194488412579).

34201000411101 is a wasteful number, since it uses less digits than its factorization.

34201000411101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366866 (or 366863 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 34201000411101 its reverse (10111400010243), we get a palindrome (44312400421344).

The spelling of 34201000411101 in words is "thirty-four trillion, two hundred one billion, four hundred eleven thousand, one hundred one".