100011100201012 has 192 divisors, whose sum is σ = 236439931875840. Its totient is φ = 35746666905600.

The previous prime is 100011100200997. The next prime is 100011100201049. The reversal of 100011100201012 is 210102001110001.

It is a self number, because there is not a number n which added to its sum of digits gives 100011100201012.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 732715812 + ... + 732852292.

It is an arithmetic number, because the mean of its divisors is an integer number (1231457978520).

Almost surely, 2^{100011100201012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011100201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118219965937920).

100011100201012 is an abundant number, since it is smaller than the sum of its proper divisors (136428831674828).

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

100011100201012 is a wasteful number, since it uses less digits than its factorization.

100011100201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137642 (or 137640 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011100201012 its reverse (210102001110001), we get a palindrome (310113101311013).

The spelling of 100011100201012 in words is "one hundred trillion, eleven billion, one hundred million, two hundred one thousand, twelve".