102250144000 has 144 divisors (see below), whose sum is σ = 259528192560. Its totient is φ = 40127692800.

The previous prime is 102250143979. The next prime is 102250144027. The reversal of 102250144000 is 441052201.

It can be written as a sum of positive squares in 8 ways, for example, as 57346838784 + 44903305216 = 239472^2 + 211904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665856 + ... + 1726144.

It is an arithmetic number, because the mean of its divisors is an integer number (1802279115).

Almost surely, 2^102250144000 is an apocalyptic number.

102250144000 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 102250144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129764096280).

102250144000 is an abundant number, since it is smaller than the sum of its proper divisors (157278048560).

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

102250144000 is an frugal number, since it uses more digits than its factorization.

102250144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60373 (or 60349 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 102250144000 its reverse (441052201), we get a palindrome (102691196201).

The spelling of 102250144000 in words is "one hundred two billion, two hundred fifty million, one hundred forty-four thousand".