100201110111100 has 18 divisors (see below), whose sum is σ = 217436408941304. Its totient is φ = 40080444044400.

The previous prime is 100201110111083. The next prime is 100201110111103. The reversal of 100201110111100 is 1111011102001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201110111103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 501005550456 + ... + 501005550655.

Almost surely, 2^{100201110111100} is an apocalyptic number.

100201110111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201110111100 is an abundant number, since it is smaller than the sum of its proper divisors (117235298830204).

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

100201110111100 is a wasteful number, since it uses less digits than its factorization.

100201110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002011101125 (or 1002011101118 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100201110111100 its reverse (1111011102001), we get a palindrome (101312121213101).

Subtracting from 100201110111100 its reverse (1111011102001), we obtain a palindrome (99090099009099).

The spelling of 100201110111100 in words is "one hundred trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred".