8101245850800 has 120 divisors (see below), whose sum is σ = 26845852745040. Its totient is φ = 2085838003200.

The previous prime is 8101245850777. The next prime is 8101245850823. The reversal of 8101245850800 is 80585421018.

It is an interprime number because it is at equal distance from previous prime (8101245850777) and next prime (8101245850823).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116362411 + ... + 116432010.

It is an arithmetic number, because the mean of its divisors is an integer number (223715439542).

Almost surely, 2^{8101245850800} is an apocalyptic number.

8101245850800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8101245850800 is an abundant number, since it is smaller than the sum of its proper divisors (18744606894240).

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

8101245850800 is a wasteful number, since it uses less digits than its factorization.

8101245850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232794471 (or 232794460 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The spelling of 8101245850800 in words is "eight trillion, one hundred one billion, two hundred forty-five million, eight hundred fifty thousand, eight hundred".