102021244242304 has 128 divisors (see below), whose sum is σ = 222161921614080. Its totient is φ = 46457336954880.

The previous prime is 102021244242263. The next prime is 102021244242347. The reversal of 102021244242304 is 403242442120201.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 883143652 + ... + 883259164.

It is an arithmetic number, because the mean of its divisors is an integer number (1735640012610).

Almost surely, 2^{102021244242304} 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 102021244242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111080960807040).

102021244242304 is an abundant number, since it is smaller than the sum of its proper divisors (120140677371776).

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

102021244242304 is a wasteful number, since it uses less digits than its factorization.

102021244242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128668 (or 128656 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 102021244242304 its reverse (403242442120201), we get a palindrome (505263686362505).

The spelling of 102021244242304 in words is "one hundred two trillion, twenty-one billion, two hundred forty-four million, two hundred forty-two thousand, three hundred four".