101148805521 has 9 divisors (see below), whose sum is σ = 146105208379. Its totient is φ = 67431900936.

The previous prime is 101148805507. The next prime is 101148805547. The reversal of 101148805521 is 125508841101.

The square root of 101148805521 is 318039.

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

101148805521 is a `hidden beast` number, since 1 + 0 + 11 + 48 + 80 + 5 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38830673025 + 62318132496 = 197055^2 + 249636^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 101148805521 - 2¹¹ = 101148803473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101148805591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 901111 + ... + 1007123.

Almost surely, 2^101148805521 is an apocalyptic number.

101148805521 is the 318039-th square number.

101148805521 is the 159020-th centered octagonal number.

It is an amenable number.

101148805521 is a deficient number, since it is larger than the sum of its proper divisors (44956402858).

101148805521 is an frugal number, since it uses more digits than its factorization.

101148805521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212032 (or 106016 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

Multiplying 101148805521 by its sum of digits (36), we get a square (3641356998756 = 1908234²).

The spelling of 101148805521 in words is "one hundred one billion, one hundred forty-eight million, eight hundred five thousand, five hundred twenty-one".