101989013279521 has 9 divisors (see below), whose sum is σ = 103052275734681. Its totient is φ = 100936610652672.

The previous prime is 101989013279501. The next prime is 101989013279557. The reversal of 101989013279521 is 125972310989101.

The square root of 101989013279521 is 10098961.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14747435577121 + 87241577702400 = 3840239^2 + 9340320^2 .

It is not a de Polignac number, because 101989013279521 - 2¹⁹ = 101989012755233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101989013279501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 979547161 + ... + 979651273.

It is an arithmetic number, because the mean of its divisors is an integer number (11450252859409).

Almost surely, 2^{101989013279521} is an apocalyptic number.

101989013279521 is the 10098961-st square number.

101989013279521 is the 5049481-st centered octagonal number.

It is an amenable number.

101989013279521 is a deficient number, since it is larger than the sum of its proper divisors (1063262455160).

101989013279521 is an frugal number, since it uses more digits than its factorization.

101989013279521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208420 (or 104210 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 58.

The spelling of 101989013279521 in words is "one hundred one trillion, nine hundred eighty-nine billion, thirteen million, two hundred seventy-nine thousand, five hundred twenty-one".