101304350250240 has 144 divisors (see below), whose sum is σ = 323550474500736. Its totient is φ = 27013682995200.

The previous prime is 101304350250217. The next prime is 101304350250349. The reversal of 101304350250240 is 42052053403101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101304350250198 and 101304350250207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133526370 + ... + 134282910.

It is an arithmetic number, because the mean of its divisors is an integer number (2246878295144).

Almost surely, 2^{101304350250240} is an apocalyptic number.

101304350250240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101304350250240 is an abundant number, since it is smaller than the sum of its proper divisors (222246124250496).

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

101304350250240 is an equidigital number, since it uses as much as digits as its factorization.

101304350250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791436 (or 791422 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 101304350250240 in words is "one hundred one trillion, three hundred four billion, three hundred fifty million, two hundred fifty thousand, two hundred forty".