1234134122100 has 144 divisors (see below), whose sum is σ = 3897475337280. Its totient is φ = 299022796800.

The previous prime is 1234134122099. The next prime is 1234134122141. The reversal of 1234134122100 is 12214314321.

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 47 ways as a sum of consecutive naturals, for example, 6081066 + ... + 6280734.

Almost surely, 2^{1234134122100} is an apocalyptic number.

1234134122100 is a gapful number since it is divisible by the number (10) 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 1234134122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948737668640).

1234134122100 is an abundant number, since it is smaller than the sum of its proper divisors (2663341215180).

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

1234134122100 is a wasteful number, since it uses less digits than its factorization.

1234134122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201570 (or 201563 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1234134122100 its reverse (12214314321), we get a palindrome (1246348436421).

The spelling of 1234134122100 in words is "one trillion, two hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-two thousand, one hundred".