102211223200 has 144 divisors (see below), whose sum is σ = 251150862816. Its totient is φ = 40618828800.

The previous prime is 102211223189. The next prime is 102211223201. The reversal of 102211223200 is 2322112201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102211223201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149650059 + ... + 149650741.

It is an arithmetic number, because the mean of its divisors is an integer number (1744103214).

Almost surely, 2^102211223200 is an apocalyptic number.

102211223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125575431408).

102211223200 is an abundant number, since it is smaller than the sum of its proper divisors (148939639616).

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

102211223200 is a wasteful number, since it uses less digits than its factorization.

102211223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102211223200 its reverse (2322112201), we get a palindrome (104533335401).

The spelling of 102211223200 in words is "one hundred two billion, two hundred eleven million, two hundred twenty-three thousand, two hundred".