34120202100 has 72 divisors (see below), whose sum is σ = 99088345440. Its totient is φ = 9064874880.

The previous prime is 34120202099. The next prime is 34120202101. The reversal of 34120202100 is 120202143.

It is an interprime number because it is at equal distance from previous prime (34120202099) and next prime (34120202101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34120202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130702 + ... + 292101.

It is an arithmetic number, because the mean of its divisors is an integer number (1376227020).

Almost surely, 2^34120202100 is an apocalyptic number.

34120202100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34120202100 is an abundant number, since it is smaller than the sum of its proper divisors (64968143340).

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

34120202100 is a wasteful number, since it uses less digits than its factorization.

34120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423089 (or 423082 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34120202100 its reverse (120202143), we get a palindrome (34240404243).

The spelling of 34120202100 in words is "thirty-four billion, one hundred twenty million, two hundred two thousand, one hundred".