101212121000200 has 72 divisors (see below), whose sum is σ = 273737476262250. Its totient is φ = 34701298625280.

The previous prime is 101212121000191. The next prime is 101212121000317. The reversal of 101212121000200 is 2000121212101.

It can be written as a sum of positive squares in 3 ways, for example, as 91696290369124 + 9515830631076 = 9575818^2 + 3084774^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5163873925 + ... + 5163893524.

Almost surely, 2^{101212121000200} is an apocalyptic number.

101212121000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212121000200 is an abundant number, since it is smaller than the sum of its proper divisors (172525355262050).

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

101212121000200 is a wasteful number, since it uses less digits than its factorization.

101212121000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327767479 (or 10327767463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101212121000200 its reverse (2000121212101), we get a palindrome (103212242212301).

The spelling of 101212121000200 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred", and thus it is an aban number.