102721920000 has 440 divisors, whose sum is σ = 391056521856. Its totient is φ = 23476224000.

The previous prime is 102721919999. The next prime is 102721920043. The reversal of 102721920000 is 29127201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13436179 + ... + 13443821.

Almost surely, 2^102721920000 is an apocalyptic number.

102721920000 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 102721920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195528260928).

102721920000 is an abundant number, since it is smaller than the sum of its proper divisors (288334601856).

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

102721920000 is an frugal number, since it uses more digits than its factorization.

102721920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 102721920000 in words is "one hundred two billion, seven hundred twenty-one million, nine hundred twenty thousand".