101128720 has 80 divisors (see below), whose sum is σ = 293159808. Its totient is φ = 31518720.

The previous prime is 101128691. The next prime is 101128721. The reversal of 101128720 is 27821101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101128691 and 101128700.

It is not an unprimeable number, because it can be changed into a prime (101128721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2049 + ... + 14368.

Almost surely, 2^101128720 is an apocalyptic number.

101128720 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 101128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146579904).

101128720 is an abundant number, since it is smaller than the sum of its proper divisors (192031088).

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

101128720 is a wasteful number, since it uses less digits than its factorization.

101128720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 101128720 is about 10056.2776413542. The cubic root of 101128720 is about 465.8987051653.

Adding to 101128720 its reverse (27821101), we get a palindrome (128949821).

It can be divided in two parts, 101 and 128720, that added together give a palindrome (128821).

The spelling of 101128720 in words is "one hundred one million, one hundred twenty-eight thousand, seven hundred twenty".