101122240 has 56 divisors (see below), whose sum is σ = 246430800. Its totient is φ = 39502848.

The previous prime is 101122187. The next prime is 101122289. The reversal of 101122240 is 42221101.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101122240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10086 + ... + 17434.

It is an arithmetic number, because the mean of its divisors is an integer number (4400550).

Almost surely, 2^101122240 is an apocalyptic number.

101122240 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 101122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123215400).

101122240 is an abundant number, since it is smaller than the sum of its proper divisors (145308560).

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

101122240 is an equidigital number, since it uses as much as digits as its factorization.

101122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101122240 is about 10055.9554493842. The cubic root of 101122240 is about 465.8887538607. Note that the first 3 decimals are identical.

Adding to 101122240 its reverse (42221101), we get a palindrome (143343341).

The spelling of 101122240 in words is "one hundred one million, one hundred twenty-two thousand, two hundred forty".