102012212000200 has 24 divisors (see below), whose sum is σ = 237178392900930. Its totient is φ = 40804884800000.

The previous prime is 102012212000147. The next prime is 102012212000213. The reversal of 102012212000200 is 2000212210201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 60504782224324 + 41507429775876 = 7778482^2 + 6442626^2 .

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 5 ways as a sum of consecutive naturals, for example, 255030529801 + ... + 255030530200.

Almost surely, 2^{102012212000200} is an apocalyptic number.

102012212000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012212000200 is an abundant number, since it is smaller than the sum of its proper divisors (135166180900730).

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

102012212000200 is a wasteful number, since it uses less digits than its factorization.

102012212000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510061060017 (or 510061060008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102012212000200 its reverse (2000212210201), we get a palindrome (104012424210401).

The spelling of 102012212000200 in words is "one hundred two trillion, twelve billion, two hundred twelve million, two hundred", and thus it is an aban number.