101573820742724 has 48 divisors (see below), whose sum is σ = 199156657754880. Its totient is φ = 44921611388160.

The previous prime is 101573820742717. The next prime is 101573820742747. The reversal of 101573820742724 is 427247028375101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188133992 + ... + 188673120.

It is an arithmetic number, because the mean of its divisors is an integer number (4149097036560).

Almost surely, 2^{101573820742724} is an apocalyptic number.

It is an amenable number.

101573820742724 is a deficient number, since it is larger than the sum of its proper divisors (97582837012156).

101573820742724 is a wasteful number, since it uses less digits than its factorization.

101573820742724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654908 (or 654906 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 53.

The spelling of 101573820742724 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, seven hundred twenty-four".