101721000 has 128 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 26432000.

The previous prime is 101720987. The next prime is 101721001. The reversal of 101721000 is 127101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101721001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122587 + ... + 123413.

It is an arithmetic number, because the mean of its divisors is an integer number (2542995).

Almost surely, 2^101721000 is an apocalyptic number.

101721000 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 101721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

101721000 is an abundant number, since it is smaller than the sum of its proper divisors (223782360).

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

101721000 is a wasteful number, since it uses less digits than its factorization.

101721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 101721000 is about 10085.6829218452. The cubic root of 101721000 is about 466.8064773837.

Adding to 101721000 its reverse (127101), we get a palindrome (101848101).

The spelling of 101721000 in words is "one hundred one million, seven hundred twenty-one thousand".