101109273720 has 256 divisors, whose sum is σ = 386201088000. Its totient is φ = 20597262336.

The previous prime is 101109273719. The next prime is 101109273739. The reversal of 101109273720 is 27372901101.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 157041 + ... + 476319.

It is an arithmetic number, because the mean of its divisors is an integer number (1508598000).

Almost surely, 2^101109273720 is an apocalyptic number.

101109273720 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 101109273720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193100544000).

101109273720 is an abundant number, since it is smaller than the sum of its proper divisors (285091814280).

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

101109273720 is a wasteful number, since it uses less digits than its factorization.

101109273720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319342 (or 319338 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 101109273720 in words is "one hundred one billion, one hundred nine million, two hundred seventy-three thousand, seven hundred twenty".