101010500560 has 40 divisors (see below), whose sum is σ = 237004016040. Its totient is φ = 40033516032.

The previous prime is 101010500543. The next prime is 101010500593. The reversal of 101010500560 is 65005010101.

It can be written as a sum of positive squares in 4 ways, for example, as 51843646864 + 49166853696 = 227692^2 + 221736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 5783167 + ... + 5800606.

It is an arithmetic number, because the mean of its divisors is an integer number (5925100401).

Almost surely, 2^101010500560 is an apocalyptic number.

101010500560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010500560 is an abundant number, since it is smaller than the sum of its proper divisors (135993515480).

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

101010500560 is a wasteful number, since it uses less digits than its factorization.

101010500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583895 (or 11583889 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 101010500560 its reverse (65005010101), we get a palindrome (166015510661).

The spelling of 101010500560 in words is "one hundred one billion, ten million, five hundred thousand, five hundred sixty".