100199703552000 has 3584 divisors, whose sum is σ = 402023658516480. Its totient is φ = 21938621644800.

The previous prime is 100199703551923. The next prime is 100199703552077. The reversal of 100199703552000 is 255307991001.

It is an interprime number because it is at equal distance from previous prime (100199703551923) and next prime (100199703552077).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1207225343959 + ... + 1207225344041.

It is an arithmetic number, because the mean of its divisors is an integer number (112171779720).

Almost surely, 2^{100199703552000} is an apocalyptic number.

100199703552000 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 100199703552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201011829258240).

100199703552000 is an abundant number, since it is smaller than the sum of its proper divisors (301823954964480).

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

100199703552000 is a wasteful number, since it uses less digits than its factorization.

100199703552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The spelling of 100199703552000 in words is "one hundred trillion, one hundred ninety-nine billion, seven hundred three million, five hundred fifty-two thousand".