101025792000 has 1440 divisors, whose sum is σ = 446553918720. Its totient is φ = 22295347200.

The previous prime is 101025791833. The next prime is 101025792013. The reversal of 101025792000 is 297520101.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3483647986 + ... + 3483648014.

It is an arithmetic number, because the mean of its divisors is an integer number (310106888).

Almost surely, 2^101025792000 is an apocalyptic number.

101025792000 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 101025792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223276959360).

101025792000 is an abundant number, since it is smaller than the sum of its proper divisors (345528126720).

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

101025792000 is an frugal number, since it uses more digits than its factorization.

101025792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

It can be divided in two parts, 101025 and 792000, that added together give a square (893025 = 945²).

The spelling of 101025792000 in words is "one hundred one billion, twenty-five million, seven hundred ninety-two thousand".