101253816000 has 336 divisors, whose sum is σ = 362813986080. Its totient is φ = 26955417600.

The previous prime is 101253815989. The next prime is 101253816089. The reversal of 101253816000 is 618352101.

101253816000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 53 + 8 + 1 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80423371 + ... + 80424629.

It is an arithmetic number, because the mean of its divisors is an integer number (1079803530).

Almost surely, 2^101253816000 is an apocalyptic number.

101253816000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101253816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181406993040).

101253816000 is an abundant number, since it is smaller than the sum of its proper divisors (261560170080).

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

101253816000 is a wasteful number, since it uses less digits than its factorization.

101253816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 101253816000 in words is "one hundred one billion, two hundred fifty-three million, eight hundred sixteen thousand".