102120223200 has 144 divisors (see below), whose sum is σ = 332953689600. Its totient is φ = 27186808320.

The previous prime is 102120223171. The next prime is 102120223217. The reversal of 102120223200 is 2322021201.

It is a happy number.

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 102120223200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421751 + ... + 1491849.

It is an arithmetic number, because the mean of its divisors is an integer number (2312178400).

Almost surely, 2^102120223200 is an apocalyptic number.

102120223200 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 102120223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166476844800).

102120223200 is an abundant number, since it is smaller than the sum of its proper divisors (230833466400).

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

102120223200 is a wasteful number, since it uses less digits than its factorization.

102120223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70729 (or 70716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102120223200 its reverse (2322021201), we get a palindrome (104442244401).

The spelling of 102120223200 in words is "one hundred two billion, one hundred twenty million, two hundred twenty-three thousand, two hundred".