101224000 has 56 divisors (see below), whose sum is σ = 250701048. Its totient is φ = 40486400.

The previous prime is 101223869. The next prime is 101224003. The reversal of 101224000 is 422101.

It can be written as a sum of positive squares in 4 ways, for example, as 29855296 + 71368704 = 5464^2 + 8448^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101224003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1674 + ... + 14326.

Almost surely, 2^101224000 is an apocalyptic number.

101224000 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 101224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125350524).

101224000 is an abundant number, since it is smaller than the sum of its proper divisors (149477048).

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

101224000 is an equidigital number, since it uses as much as digits as its factorization.

101224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 101224000 is about 10061.0138654114. The cubic root of 101224000 is about 466.0449771467.

Adding to 101224000 its reverse (422101), we get a palindrome (101646101).

The spelling of 101224000 in words is "one hundred one million, two hundred twenty-four thousand".