101101320 has 48 divisors (see below), whose sum is σ = 328580460. Its totient is φ = 26960256.

The previous prime is 101101289. The next prime is 101101321. The reversal of 101101320 is 23101101.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 580644 = 10026^2 + 762^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140059 + ... + 140778.

Almost surely, 2^101101320 is an apocalyptic number.

101101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101320 is an abundant number, since it is smaller than the sum of its proper divisors (227479140).

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

101101320 is a wasteful number, since it uses less digits than its factorization.

101101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280854 (or 280847 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101101320 is about 10054.9152159528. The cubic root of 101101320 is about 465.8566242161.

Adding to 101101320 its reverse (23101101), we get a palindrome (124202421).

The spelling of 101101320 in words is "one hundred one million, one hundred one thousand, three hundred twenty".