34007011101 has 24 divisors (see below), whose sum is σ = 56147093184. Its totient is φ = 19429623360.

The previous prime is 34007011057. The next prime is 34007011231. The reversal of 34007011101 is 10111070043.

It is not a de Polignac number, because 34007011101 - 2⁹ = 34007010589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007016101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416865 + ... + 491721.

It is an arithmetic number, because the mean of its divisors is an integer number (2339462216).

Almost surely, 2^34007011101 is an apocalyptic number.

It is an amenable number.

34007011101 is a deficient number, since it is larger than the sum of its proper divisors (22140082083).

34007011101 is a wasteful number, since it uses less digits than its factorization.

34007011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82081 (or 82078 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 34007011101 its reverse (10111070043), we get a palindrome (44118081144).

The spelling of 34007011101 in words is "thirty-four billion, seven million, eleven thousand, one hundred one".