102401441323312 has 120 divisors (see below), whose sum is σ = 211939778350608. Its totient is φ = 47897814343680.

The previous prime is 102401441323309. The next prime is 102401441323411. The reversal of 102401441323312 is 213323144104201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 23 ways as a sum of consecutive naturals, for example, 63334948 + ... + 64931644.

Almost surely, 2^{102401441323312} 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 102401441323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105969889175304).

102401441323312 is an abundant number, since it is smaller than the sum of its proper divisors (109538337027296).

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

102401441323312 is a wasteful number, since it uses less digits than its factorization.

102401441323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596907 (or 1596870 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 102401441323312 its reverse (213323144104201), we get a palindrome (315724585427513).

The spelling of 102401441323312 in words is "one hundred two trillion, four hundred one billion, four hundred forty-one million, three hundred twenty-three thousand, three hundred twelve".