100099961136000 has 2048 divisors, whose sum is σ = 454590309888000. Its totient is φ = 21127230259200.

The previous prime is 100099961135963. The next prime is 100099961136041. The reversal of 100099961136000 is 631169990001.

100099961136000 is a `hidden beast` number, since 100 + 0 + 99 + 96 + 11 + 360 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 2724605631 + ... + 2724642369.

It is an arithmetic number, because the mean of its divisors is an integer number (221967924750).

Almost surely, 2^{100099961136000} is an apocalyptic number.

100099961136000 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 100099961136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227295154944000).

100099961136000 is an abundant number, since it is smaller than the sum of its proper divisors (354490348752000).

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

100099961136000 is a wasteful number, since it uses less digits than its factorization.

100099961136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36854 (or 36826 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 100099961136000 in words is "one hundred trillion, ninety-nine billion, nine hundred sixty-one million, one hundred thirty-six thousand".