101005605600500 has 24 divisors (see below), whose sum is σ = 220596242632584. Its totient is φ = 40402242240000.

The previous prime is 101005605600467. The next prime is 101005605600527. The reversal of 101005605600500 is 5006506500101.

It can be written as a sum of positive squares in 4 ways, for example, as 201355023076 + 100804250577424 = 448726^2 + 10040132^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101005605101 + ... + 101005606100.

It is an arithmetic number, because the mean of its divisors is an integer number (9191510109691).

Almost surely, 2^{101005605600500} is an apocalyptic number.

101005605600500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005605600500 is an abundant number, since it is smaller than the sum of its proper divisors (119590637032084).

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

101005605600500 is a wasteful number, since it uses less digits than its factorization.

101005605600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202011211220 (or 202011211208 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 101005605600500 in words is "one hundred one trillion, five billion, six hundred five million, six hundred thousand, five hundred".