34112211100 has 108 divisors (see below), whose sum is σ = 81633684832. Its totient is φ = 12363436800.

The previous prime is 34112211097. The next prime is 34112211113. The reversal of 34112211100 is 111221143.

It is a super-2 number, since 2×34112211100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3782797 + ... + 3791803.

Almost surely, 2^34112211100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34112211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40816842416).

34112211100 is an abundant number, since it is smaller than the sum of its proper divisors (47521473732).

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

34112211100 is a wasteful number, since it uses less digits than its factorization.

34112211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 34112211100 its reverse (111221143), we get a palindrome (34223432243).

The spelling of 34112211100 in words is "thirty-four billion, one hundred twelve million, two hundred eleven thousand, one hundred".