101386734720 has 192 divisors, whose sum is σ = 330872169600. Its totient is φ = 26406782976.

The previous prime is 101386734697. The next prime is 101386734773. The reversal of 101386734720 is 27437683101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3535801 + ... + 3564359.

It is an arithmetic number, because the mean of its divisors is an integer number (1723292550).

Almost surely, 2^101386734720 is an apocalyptic number.

101386734720 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 101386734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165436084800).

101386734720 is an abundant number, since it is smaller than the sum of its proper divisors (229485434880).

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

101386734720 is an equidigital number, since it uses as much as digits as its factorization.

101386734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28667 (or 28612 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 101386734720 in words is "one hundred one billion, three hundred eighty-six million, seven hundred thirty-four thousand, seven hundred twenty".