101461259548804 has 27 divisors (see below), whose sum is σ = 181994975240421. Its totient is φ = 49492894428960.

The previous prime is 101461259548799. The next prime is 101461259548843. The reversal of 101461259548804 is 408845952164101.

The square root of 101461259548804 is 10072798.

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., 4888972054404 + 96572287494400 = 2211102^2 + 9827120^2 .

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, 825908017 + ... + 826030855.

Almost surely, 2^{101461259548804} is an apocalyptic number.

101461259548804 is the 10072798-th square number.

It is an amenable number.

101461259548804 is a deficient number, since it is larger than the sum of its proper divisors (80533715691617).

101461259548804 is an frugal number, since it uses more digits than its factorization.

101461259548804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245764 (or 122882 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 101461259548804 in words is "one hundred one trillion, four hundred sixty-one billion, two hundred fifty-nine million, five hundred forty-eight thousand, eight hundred four".