101314742240 has 48 divisors (see below), whose sum is σ = 253435854672. Its totient is φ = 38142019584.

The previous prime is 101314742233. The next prime is 101314742267. The reversal of 101314742240 is 42247413101.

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 7 ways as a sum of consecutive naturals, for example, 18621314 + ... + 18626753.

It is an arithmetic number, because the mean of its divisors is an integer number (5279913639).

Almost surely, 2^101314742240 is an apocalyptic number.

101314742240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314742240 is an abundant number, since it is smaller than the sum of its proper divisors (152121112432).

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

101314742240 is a wasteful number, since it uses less digits than its factorization.

101314742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37248099 (or 37248091 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 101314742240 in words is "one hundred one billion, three hundred fourteen million, seven hundred forty-two thousand, two hundred forty".