102120224000 has 144 divisors (see below), whose sum is σ = 269360045136. Its totient is φ = 38445056000.

The previous prime is 102120223993. The next prime is 102120224021. The reversal of 102120224000 is 422021201.

It can be written as a sum of positive squares in 8 ways, for example, as 36264346624 + 65855877376 = 190432^2 + 256624^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 450140 + ... + 637860.

It is an arithmetic number, because the mean of its divisors is an integer number (1870555869).

Almost surely, 2^102120224000 is an apocalyptic number.

102120224000 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 102120224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134680022568).

102120224000 is an abundant number, since it is smaller than the sum of its proper divisors (167239821136).

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

102120224000 is an equidigital number, since it uses as much as digits as its factorization.

102120224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187769 (or 187745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102120224000 its reverse (422021201), we get a palindrome (102542245201).

The spelling of 102120224000 in words is "one hundred two billion, one hundred twenty million, two hundred twenty-four thousand".