102040224000 has 576 divisors, whose sum is σ = 398233075968. Its totient is φ = 22831104000.

The previous prime is 102040223983. The next prime is 102040224001. The reversal of 102040224000 is 422040201.

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

It is not an unprimeable number, because it can be changed into a prime (102040224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13724284 + ... + 13731716.

It is an arithmetic number, because the mean of its divisors is an integer number (691376868).

Almost surely, 2^102040224000 is an apocalyptic number.

102040224000 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 102040224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199116537984).

102040224000 is an abundant number, since it is smaller than the sum of its proper divisors (296192851968).

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

102040224000 is a wasteful number, since it uses less digits than its factorization.

102040224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102040224000 its reverse (422040201), we get a palindrome (102462264201).

The spelling of 102040224000 in words is "one hundred two billion, forty million, two hundred twenty-four thousand".