34102110100 has 72 divisors (see below), whose sum is σ = 77935914560. Its totient is φ = 12916350720.

The previous prime is 34102110047. The next prime is 34102110101. The reversal of 34102110100 is 101120143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102110101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5482192 + ... + 5488408.

Almost surely, 2^34102110100 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 34102110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38967957280).

34102110100 is an abundant number, since it is smaller than the sum of its proper divisors (43833804460).

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

34102110100 is a wasteful number, since it uses less digits than its factorization.

34102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 34102110100 its reverse (101120143), we get a palindrome (34203230243).

The spelling of 34102110100 in words is "thirty-four billion, one hundred two million, one hundred ten thousand, one hundred".