10201542912000 has 3456 divisors, whose sum is σ = 44322169731840. Its totient is φ = 2248114176000.

The previous prime is 10201542911981. The next prime is 10201542912053. The reversal of 10201542912000 is 21924510201.

10201542912000 is a `hidden beast` number, since 1 + 0 + 20 + 15 + 429 + 1 + 200 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 237245183979 + ... + 237245184021.

It is an arithmetic number, because the mean of its divisors is an integer number (12824701890).

Almost surely, 2^{10201542912000} is an apocalyptic number.

10201542912000 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 10201542912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161084865920).

10201542912000 is an abundant number, since it is smaller than the sum of its proper divisors (34120626819840).

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

10201542912000 is a wasteful number, since it uses less digits than its factorization.

10201542912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

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

The spelling of 10201542912000 in words is "ten trillion, two hundred one billion, five hundred forty-two million, nine hundred twelve thousand".