101327050449072 has 480 divisors, whose sum is σ = 345248170036224. Its totient is φ = 28161953510400.

The previous prime is 101327050448969. The next prime is 101327050449077. The reversal of 101327050449072 is 270944050723101.

101327050449072 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 70 + 504 + 4 + 9 + 0 + 72 = 666.

It is a super-2 number, since 2×101327050449072² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101327050449077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6465887797 + ... + 6465903467.

Almost surely, 2^{101327050449072} is an apocalyptic number.

101327050449072 is a gapful number since it is divisible by the number (12) 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 101327050449072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172624085018112).

101327050449072 is an abundant number, since it is smaller than the sum of its proper divisors (243921119587152).

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

101327050449072 is a wasteful number, since it uses less digits than its factorization.

101327050449072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22141 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 101327050449072 in words is "one hundred one trillion, three hundred twenty-seven billion, fifty million, four hundred forty-nine thousand, seventy-two".