101528577147321 has 45 divisors (see below), whose sum is σ = 158550287055391. Its totient is φ = 64741530739248.

The previous prime is 101528577147301. The next prime is 101528577147329. The reversal of 101528577147321 is 123741775825101.

The square root of 101528577147321 is 10076139.

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

101528577147321 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 8 + 577 + 1 + 47 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56135533293225 + 45393043854096 = 7492365^2 + 6737436^2 .

It is not a de Polignac number, because 101528577147321 - 2²⁷ = 101528442929593 is a prime.

It is a super-2 number, since 2×101528577147321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101528577147329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2085736435 + ... + 2085785111.

Almost surely, 2^{101528577147321} is an apocalyptic number.

101528577147321 is the 10076139-th square number.

101528577147321 is the 5038070-th centered octagonal number.

It is an amenable number.

101528577147321 is a deficient number, since it is larger than the sum of its proper divisors (57021709908070).

101528577147321 is an frugal number, since it uses more digits than its factorization.

101528577147321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97412 (or 48703 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 101528577147321 in words is "one hundred one trillion, five hundred twenty-eight billion, five hundred seventy-seven million, one hundred forty-seven thousand, three hundred twenty-one".