212101200000100 has 18 divisors (see below), whose sum is σ = 460259604000434. Its totient is φ = 84840480000000.

The previous prime is 212101200000023. The next prime is 212101200000197. The reversal of 212101200000100 is 1000002101212.

It can be written as a sum of positive squares in 3 ways, for example, as 44487939525184 + 167613260474916 = 6669928^2 + 12946554^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 1060505999901 + ... + 1060506000100.

Almost surely, 2^{212101200000100} is an apocalyptic number.

212101200000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101200000100 is an abundant number, since it is smaller than the sum of its proper divisors (248158404000334).

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

212101200000100 is a wasteful number, since it uses less digits than its factorization.

212101200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121012000015 (or 2121012000008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212101200000100 its reverse (1000002101212), we get a palindrome (213101202101312).

The spelling of 212101200000100 in words is "two hundred twelve trillion, one hundred one billion, two hundred million, one hundred", and thus it is an aban number.