102314022244434 has 768 divisors, whose sum is σ = 312524890030080. Its totient is φ = 23317907374080.

The previous prime is 102314022244367. The next prime is 102314022244487. The reversal of 102314022244434 is 434442220413201.

102314022244434 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 402 + 2 + 244 + 4 + 3 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88737226002 + ... + 88737227154.

It is an arithmetic number, because the mean of its divisors is an integer number (406933450560).

Almost surely, 2^{102314022244434} is an apocalyptic number.

102314022244434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102314022244434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156262445015040).

102314022244434 is an abundant number, since it is smaller than the sum of its proper divisors (210210867785646).

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

102314022244434 is a wasteful number, since it uses less digits than its factorization.

102314022244434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 102314022244434 its reverse (434442220413201), we get a palindrome (536756242657635).

The spelling of 102314022244434 in words is "one hundred two trillion, three hundred fourteen billion, twenty-two million, two hundred forty-four thousand, four hundred thirty-four".