101134309500 has 864 divisors, whose sum is σ = 386098038144. Its totient is φ = 22208256000.

The previous prime is 101134309487. The next prime is 101134309519. The reversal of 101134309500 is 5903431101.

101134309500 is a `hidden beast` number, since 1 + 0 + 113 + 43 + 0 + 9 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 981886449 + ... + 981886551.

Almost surely, 2^101134309500 is an apocalyptic number.

101134309500 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 101134309500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193049019072).

101134309500 is an abundant number, since it is smaller than the sum of its proper divisors (284963728644).

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

101134309500 is a wasteful number, since it uses less digits than its factorization.

101134309500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 101134309500 in words is "one hundred one billion, one hundred thirty-four million, three hundred nine thousand, five hundred".