34000101010100 has 36 divisors (see below), whose sum is σ = 73781088710700. Its totient is φ = 13599880124160.

The previous prime is 34000101010093. The next prime is 34000101010103. The reversal of 34000101010100 is 101010100043.

It can be written as a sum of positive squares in 6 ways, for example, as 1489737420304 + 32510363589796 = 1220548^2 + 5701786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000101010103) 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, 6712766 + ... + 10633034.

Almost surely, 2^{34000101010100} is an apocalyptic number.

It is an amenable number.

34000101010100 is an abundant number, since it is smaller than the sum of its proper divisors (39780987700600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34000101010100 is a wasteful number, since it uses less digits than its factorization.

34000101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007012 (or 4007005 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 34000101010100 its reverse (101010100043), we get a palindrome (34101111110143).

The spelling of 34000101010100 in words is "thirty-four trillion, one hundred one million, ten thousand, one hundred".