102012120212200 has 96 divisors (see below), whose sum is σ = 261301613260320. Its totient is φ = 36728036000000.

The previous prime is 102012120212159. The next prime is 102012120212201. The reversal of 102012120212200 is 2212021210201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102012120212201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229328026 + ... + 229772425.

It is an arithmetic number, because the mean of its divisors is an integer number (2721891804795).

Almost surely, 2^{102012120212200} is an apocalyptic number.

102012120212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012120212200 is an abundant number, since it is smaller than the sum of its proper divisors (159289493048120).

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

102012120212200 is a wasteful number, since it uses less digits than its factorization.

102012120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459100579 (or 459100570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102012120212200 its reverse (2212021210201), we get a palindrome (104224141422401).

The spelling of 102012120212200 in words is "one hundred two trillion, twelve billion, one hundred twenty million, two hundred twelve thousand, two hundred".