101106451008000 has 480 divisors, whose sum is σ = 374008895179920. Its totient is φ = 26233019596800.

The previous prime is 101106451007993. The next prime is 101106451008001. The reversal of 101106451008000 is 800154601101.

101106451008000 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 645 + 10 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30258272565504 + 70848178442496 = 5500752^2 + 8417136^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (101106451008001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18939946 + ... + 23684054.

Almost surely, 2^{101106451008000} is an apocalyptic number.

101106451008000 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 101106451008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187004447589960).

101106451008000 is an abundant number, since it is smaller than the sum of its proper divisors (272902444171920).

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

101106451008000 is an equidigital number, since it uses as much as digits as its factorization.

101106451008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744185 (or 4744156 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 101106451008000 in words is "one hundred one trillion, one hundred six billion, four hundred fifty-one million, eight thousand".