100201201111200 has 288 divisors, whose sum is σ = 372820106985984. Its totient is φ = 22898729917440.

The previous prime is 100201201111177. The next prime is 100201201111247. The reversal of 100201201111200 is 2111102102001.

100201201111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100201201111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87243067 + ... + 88384133.

It is an arithmetic number, because the mean of its divisors is an integer number (1294514260368).

Almost surely, 2^{100201201111200} is an apocalyptic number.

100201201111200 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 100201201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186410053492992).

100201201111200 is an abundant number, since it is smaller than the sum of its proper divisors (272618905874784).

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

100201201111200 is a wasteful number, since it uses less digits than its factorization.

100201201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146324 (or 1146311 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201201111200 its reverse (2111102102001), we get a palindrome (102312303213201).

The spelling of 100201201111200 in words is "one hundred trillion, two hundred one billion, two hundred one million, one hundred eleven thousand, two hundred".