101224140 has 48 divisors (see below), whose sum is σ = 286094592. Its totient is φ = 26739136.

The previous prime is 101224099. The next prime is 101224147. The reversal of 101224140 is 41422101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101224147) 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 15 ways as a sum of consecutive naturals, for example, 1464 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (5960304).

Almost surely, 2^101224140 is an apocalyptic number.

101224140 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 101224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143047296).

101224140 is an abundant number, since it is smaller than the sum of its proper divisors (184870452).

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

101224140 is a wasteful number, since it uses less digits than its factorization.

101224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 15884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101224140 is about 10061.0208229583. The cubic root of 101224140 is about 466.0451920044.

Adding to 101224140 its reverse (41422101), we get a palindrome (142646241).

It can be divided in two parts, 1012 and 24140, that added together give a palindrome (25152).

The spelling of 101224140 in words is "one hundred one million, two hundred twenty-four thousand, one hundred forty".