101256570240 has 256 divisors, whose sum is σ = 372252672000. Its totient is φ = 22931693568.

The previous prime is 101256570227. The next prime is 101256570251. The reversal of 101256570240 is 42075652101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1430401 + ... + 1499519.

It is an arithmetic number, because the mean of its divisors is an integer number (1454112000).

Almost surely, 2^101256570240 is an apocalyptic number.

101256570240 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 101256570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186126336000).

101256570240 is an abundant number, since it is smaller than the sum of its proper divisors (270996101760).

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

101256570240 is a wasteful number, since it uses less digits than its factorization.

101256570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69257 (or 69245 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 101256570240 in words is "one hundred one billion, two hundred fifty-six million, five hundred seventy thousand, two hundred forty".