102444241312 has 192 divisors, whose sum is σ = 242376986880. Its totient is φ = 41713459200.

The previous prime is 102444241301. The next prime is 102444241313. The reversal of 102444241312 is 213142444201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (102444241313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59943114 + ... + 59944822.

It is an arithmetic number, because the mean of its divisors is an integer number (1262380140).

Almost surely, 2^102444241312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102444241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121188493440).

102444241312 is an abundant number, since it is smaller than the sum of its proper divisors (139932745568).

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

102444241312 is a wasteful number, since it uses less digits than its factorization.

102444241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102444241312 its reverse (213142444201), we get a palindrome (315586685513).

The spelling of 102444241312 in words is "one hundred two billion, four hundred forty-four million, two hundred forty-one thousand, three hundred twelve".