101424222240 has 384 divisors, whose sum is σ = 388461588480. Its totient is φ = 21923020800.

The previous prime is 101424222233. The next prime is 101424222247. The reversal of 101424222240 is 42222424101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101424222233) and next prime (101424222247).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101424222240.

It is not an unprimeable number, because it can be changed into a prime (101424222247) 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 63 ways as a sum of consecutive naturals, for example, 1675705 + ... + 1735175.

It is an arithmetic number, because the mean of its divisors is an integer number (1011618720).

Almost surely, 2^101424222240 is an apocalyptic number.

101424222240 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 101424222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194230794240).

101424222240 is an abundant number, since it is smaller than the sum of its proper divisors (287037366240).

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

101424222240 is a wasteful number, since it uses less digits than its factorization.

101424222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59536 (or 59528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 101424222240 its reverse (42222424101), we get a palindrome (143646646341).

The spelling of 101424222240 in words is "one hundred one billion, four hundred twenty-four million, two hundred twenty-two thousand, two hundred forty".