101126720 has 56 divisors (see below), whose sum is σ = 244254528. Its totient is φ = 39872000.

The previous prime is 101126719. The next prime is 101126749. The reversal of 101126720 is 27621101.

It is a super-2 number, since 2×101126720² = 20453226995916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101126692 and 101126701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20495 + ... + 24945.

It is an arithmetic number, because the mean of its divisors is an integer number (4361688).

Almost surely, 2^101126720 is an apocalyptic number.

101126720 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 101126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122127264).

101126720 is an abundant number, since it is smaller than the sum of its proper divisors (143127808).

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

101126720 is an equidigital number, since it uses as much as digits as its factorization.

101126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 101126720 is about 10056.1782004895. The cubic root of 101126720 is about 465.8956338204.

Adding to 101126720 its reverse (27621101), we get a palindrome (128747821).

The spelling of 101126720 in words is "one hundred one million, one hundred twenty-six thousand, seven hundred twenty".