101213440 has 72 divisors (see below), whose sum is σ = 245034720. Its totient is φ = 40052736.

The previous prime is 101213429. The next prime is 101213447. The reversal of 101213440 is 44312101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213447) by changing a digit.

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, 136591 + ... + 137329.

It is an arithmetic number, because the mean of its divisors is an integer number (3403260).

Almost surely, 2^101213440 is an apocalyptic number.

101213440 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 101213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122517360).

101213440 is an abundant number, since it is smaller than the sum of its proper divisors (143821280).

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

101213440 is an equidigital number, since it uses as much as digits as its factorization.

101213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101213440 is about 10060.4890537190. The cubic root of 101213440 is about 466.0287701665.

Adding to 101213440 its reverse (44312101), we get a palindrome (145525541).

The spelling of 101213440 in words is "one hundred one million, two hundred thirteen thousand, four hundred forty".