101319229440 has 1080 divisors, whose sum is σ = 426373116624. Its totient is φ = 21941452800.

The previous prime is 101319229439. The next prime is 101319229463. The reversal of 101319229440 is 44922913101.

101319229440 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 192 + 29 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101319229395 and 101319229404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3268362225 + ... + 3268362255.

Almost surely, 2^101319229440 is an apocalyptic number.

101319229440 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 101319229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213186558312).

101319229440 is an abundant number, since it is smaller than the sum of its proper divisors (325053887184).

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

101319229440 is a wasteful number, since it uses less digits than its factorization.

101319229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 101319229440 in words is "one hundred one billion, three hundred nineteen million, two hundred twenty-nine thousand, four hundred forty".