101022413440 has 96 divisors (see below), whose sum is σ = 261513459900. Its totient is φ = 37300543488.

The previous prime is 101022413417. The next prime is 101022413441. The reversal of 101022413440 is 44314220101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 259338816 + 100763074624 = 16104^2 + 317432^2 .

It is not an unprimeable number, because it can be changed into a prime (101022413441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358845 + ... + 575164.

Almost surely, 2^101022413440 is an apocalyptic number.

101022413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022413440 is an abundant number, since it is smaller than the sum of its proper divisors (160491046460).

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

101022413440 is an equidigital number, since it uses as much as digits as its factorization.

101022413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934054 (or 934029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101022413440 its reverse (44314220101), we get a palindrome (145336633541).

The spelling of 101022413440 in words is "one hundred one billion, twenty-two million, four hundred thirteen thousand, four hundred forty".