34000107011001 has 12 divisors (see below), whose sum is σ = 49122732295728. Its totient is φ = 22661445724344.

The previous prime is 34000107010979. The next prime is 34000107011047. The reversal of 34000107011001 is 10011070100043.

It is not a de Polignac number, because 34000107011001 - 2²⁹ = 33999570140089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34000107019001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440982895 + ... + 441059988.

It is an arithmetic number, because the mean of its divisors is an integer number (4093561024644).

Almost surely, 2^{34000107011001} is an apocalyptic number.

It is an amenable number.

34000107011001 is a deficient number, since it is larger than the sum of its proper divisors (15122625284727).

34000107011001 is a wasteful number, since it uses less digits than its factorization.

34000107011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882047172 (or 882047169 counting only the distinct ones).

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

Adding to 34000107011001 its reverse (10011070100043), we get a palindrome (44011177111044).

The spelling of 34000107011001 in words is "thirty-four trillion, one hundred seven million, eleven thousand, one".