101266304328000 has 1680 divisors, whose sum is σ = 447578618222736. Its totient is φ = 22520739225600.

The previous prime is 101266304327999. The next prime is 101266304328011. The reversal of 101266304328000 is 823403662101.

101266304328000 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 6 + 304 + 328 + 0 + 0 + 0 = 666.

101266304328000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45979465625856 + 55286838702144 = 6780816^2 + 7435512^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×101266304328000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 1174780902 + ... + 1174867098.

Almost surely, 2^{101266304328000} is an apocalyptic number.

101266304328000 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 101266304328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223789309111368).

101266304328000 is an abundant number, since it is smaller than the sum of its proper divisors (346312313894736).

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

101266304328000 is an equidigital number, since it uses as much as digits as its factorization.

101266304328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86287 (or 86251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 101266304328000 in words is "one hundred one trillion, two hundred sixty-six billion, three hundred four million, three hundred twenty-eight thousand".