129391817100 has 576 divisors, whose sum is σ = 469781932032. Its totient is φ = 26772480000.

The previous prime is 129391817083. The next prime is 129391817153. The reversal of 129391817100 is 1718193921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460468960 + ... + 460469240.

It is an arithmetic number, because the mean of its divisors is an integer number (815593632).

Almost surely, 2^129391817100 is an apocalyptic number.

129391817100 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 129391817100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234890966016).

129391817100 is an abundant number, since it is smaller than the sum of its proper divisors (340390114932).

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

129391817100 is a wasteful number, since it uses less digits than its factorization.

129391817100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The spelling of 129391817100 in words is "one hundred twenty-nine billion, three hundred ninety-one million, eight hundred seventeen thousand, one hundred".