134002341122100 has 288 divisors, whose sum is σ = 445302282163200. Its totient is φ = 30770050867200.

The previous prime is 134002341122053. The next prime is 134002341122203. The reversal of 134002341122100 is 1221143200431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348984417 + ... + 349368183.

Almost surely, 2^{134002341122100} is an apocalyptic number.

134002341122100 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 134002341122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222651141081600).

134002341122100 is an abundant number, since it is smaller than the sum of its proper divisors (311299941041100).

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

134002341122100 is a wasteful number, since it uses less digits than its factorization.

134002341122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389383 (or 389376 counting only the distinct ones).

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

Adding to 134002341122100 its reverse (1221143200431), we get a palindrome (135223484322531).

The spelling of 134002341122100 in words is "one hundred thirty-four trillion, two billion, three hundred forty-one million, one hundred twenty-two thousand, one hundred".