101375538005764 has 27 divisors (see below), whose sum is σ = 195001719230773. Its totient is φ = 46079689317200.

The previous prime is 101375538005723. The next prime is 101375538005773. The reversal of 101375538005764 is 467500835573101.

The square root of 101375538005764 is 10068542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27540013588164 + 73835524417600 = 5247858^2 + 8592760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221279094 + ... + 221736754.

Almost surely, 2^{101375538005764} is an apocalyptic number.

101375538005764 is the 10068542-nd square number.

It is an amenable number.

101375538005764 is a deficient number, since it is larger than the sum of its proper divisors (93626181225009).

101375538005764 is an frugal number, since it uses more digits than its factorization.

101375538005764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915348 (or 457674 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 101375538005764 in words is "one hundred one trillion, three hundred seventy-five billion, five hundred thirty-eight million, five thousand, seven hundred sixty-four".