100212011200100 has 36 divisors (see below), whose sum is σ = 217484193638964. Its totient is φ = 40080356676480.

The previous prime is 100212011200033. The next prime is 100212011200121. The reversal of 100212011200100 is 1002110212001.

It can be written as a sum of positive squares in 6 ways, for example, as 1590706157824 + 98621305042276 = 1261232^2 + 9930826^2 .

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 11 ways as a sum of consecutive naturals, for example, 54691739 + ... + 56494338.

Almost surely, 2^{100212011200100} is an apocalyptic number.

100212011200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212011200100 is an abundant number, since it is smaller than the sum of its proper divisors (117272182438864).

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

100212011200100 is a wasteful number, since it uses less digits than its factorization.

100212011200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111195104 (or 111195097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212011200100 its reverse (1002110212001), we get a palindrome (101214121412101).

The spelling of 100212011200100 in words is "one hundred trillion, two hundred twelve billion, eleven million, two hundred thousand, one hundred".