100094902195200 has 528 divisors, whose sum is σ = 360979467698496. Its totient is φ = 24259638067200.

The previous prime is 100094902195091. The next prime is 100094902195313. The reversal of 100094902195200 is 2591209490001.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 4319450814 + ... + 4319473986.

Almost surely, 2^{100094902195200} is an apocalyptic number.

100094902195200 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 100094902195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180489733849248).

100094902195200 is an abundant number, since it is smaller than the sum of its proper divisors (260884565503296).

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

100094902195200 is a wasteful number, since it uses less digits than its factorization.

100094902195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28330 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 100094902195200 in words is "one hundred trillion, ninety-four billion, nine hundred two million, one hundred ninety-five thousand, two hundred".