100201201110012 has 48 divisors (see below), whose sum is σ = 233851552526592. Its totient is φ = 33393436719360.

The previous prime is 100201201110001. The next prime is 100201201110077. The reversal of 100201201110012 is 210011102102001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100201201110012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2525784937 + ... + 2525824607.

It is an arithmetic number, because the mean of its divisors is an integer number (4871907344304).

Almost surely, 2^{100201201110012} is an apocalyptic number.

100201201110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201201110012 is an abundant number, since it is smaller than the sum of its proper divisors (133650351416580).

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

100201201110012 is a wasteful number, since it uses less digits than its factorization.

100201201110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78258 (or 78256 counting only the distinct ones).

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

Adding to 100201201110012 its reverse (210011102102001), we get a palindrome (310212303212013).

The spelling of 100201201110012 in words is "one hundred trillion, two hundred one billion, two hundred one million, one hundred ten thousand, twelve".