34101323100 has 216 divisors, whose sum is σ = 115754070432. Its totient is φ = 8347276800.

The previous prime is 34101323027. The next prime is 34101323107. The reversal of 34101323100 is 132310143.

34101323100 is a `hidden beast` number, since 341 + 0 + 1 + 323 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×34101323100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101323107) 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 71 ways as a sum of consecutive naturals, for example, 2109649 + ... + 2125751.

Almost surely, 2^34101323100 is an apocalyptic number.

34101323100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57877035216).

34101323100 is an abundant number, since it is smaller than the sum of its proper divisors (81652747332).

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

34101323100 is a wasteful number, since it uses less digits than its factorization.

34101323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 34101323100 its reverse (132310143), we get a palindrome (34233633243).

The spelling of 34101323100 in words is "thirty-four billion, one hundred one million, three hundred twenty-three thousand, one hundred".