100200011110000 has 200 divisors, whose sum is σ = 253798700468544. Its totient is φ = 38270469120000.

The previous prime is 100200011109971. The next prime is 100200011110019. The reversal of 100200011110000 is 11110002001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 16670104 + ... + 21869896.

Almost surely, 2^{100200011110000} is an apocalyptic number.

100200011110000 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 100200011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126899350234272).

100200011110000 is an abundant number, since it is smaller than the sum of its proper divisors (153598689358544).

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

100200011110000 is an equidigital number, since it uses as much as digits as its factorization.

100200011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199909 (or 5199888 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100200011110000 its reverse (11110002001), we get a palindrome (100211121112001).

The spelling of 100200011110000 in words is "one hundred trillion, two hundred billion, eleven million, one hundred ten thousand".