101723981312 has 160 divisors (see below), whose sum is σ = 216748984320. Its totient is φ = 47615016960.

The previous prime is 101723981309. The next prime is 101723981323. The reversal of 101723981312 is 213189327101.

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 15 ways as a sum of consecutive naturals, for example, 77121389 + ... + 77122707.

It is an arithmetic number, because the mean of its divisors is an integer number (1354681152).

Almost surely, 2^101723981312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101723981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108374492160).

101723981312 is an abundant number, since it is smaller than the sum of its proper divisors (115025003008).

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

101723981312 is a wasteful number, since it uses less digits than its factorization.

101723981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 101723981312 in words is "one hundred one billion, seven hundred twenty-three million, nine hundred eighty-one thousand, three hundred twelve".