101427918080 has 144 divisors (see below), whose sum is σ = 246061658304. Its totient is φ = 40053964800.

The previous prime is 101427917957. The next prime is 101427918089. The reversal of 101427918080 is 80819724101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101427918089) 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 15 ways as a sum of consecutive naturals, for example, 69901355 + ... + 69902805.

It is an arithmetic number, because the mean of its divisors is an integer number (1708761516).

Almost surely, 2^101427918080 is an apocalyptic number.

101427918080 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 101427918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123030829152).

101427918080 is an abundant number, since it is smaller than the sum of its proper divisors (144633740224).

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

101427918080 is an equidigital number, since it uses as much as digits as its factorization.

101427918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The spelling of 101427918080 in words is "one hundred one billion, four hundred twenty-seven million, nine hundred eighteen thousand, eighty".