102213211200 has 84 divisors (see below), whose sum is σ = 335344526160. Its totient is φ = 27256855040.

The previous prime is 102213211187. The next prime is 102213211207. The reversal of 102213211200 is 2112312201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102213211200.

It is not an unprimeable number, because it can be changed into a prime (102213211207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10642410 + ... + 10652009.

It is an arithmetic number, because the mean of its divisors is an integer number (3992196740).

Almost surely, 2^102213211200 is an apocalyptic number.

102213211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213211200 is an abundant number, since it is smaller than the sum of its proper divisors (233131314960).

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

102213211200 is a wasteful number, since it uses less digits than its factorization.

102213211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21294444 (or 21294429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102213211200 its reverse (2112312201), we get a palindrome (104325523401).

The spelling of 102213211200 in words is "one hundred two billion, two hundred thirteen million, two hundred eleven thousand, two hundred".