102212010200200 has 48 divisors (see below), whose sum is σ = 237647969556480. Its totient is φ = 40883935978560.

The previous prime is 102212010200159. The next prime is 102212010200221. The reversal of 102212010200200 is 2002010212201.

It is a happy number.

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, 4058617 + ... + 14862583.

It is an arithmetic number, because the mean of its divisors is an integer number (4950999365760).

Almost surely, 2^{102212010200200} is an apocalyptic number.

102212010200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212010200200 is an abundant number, since it is smaller than the sum of its proper divisors (135435959356280).

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

102212010200200 is a wasteful number, since it uses less digits than its factorization.

102212010200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851286 (or 10851277 counting only the distinct ones).

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

Adding to 102212010200200 its reverse (2002010212201), we get a palindrome (104214020412401).

The spelling of 102212010200200 in words is "one hundred two trillion, two hundred twelve billion, ten million, two hundred thousand, two hundred".