101128244512516 has 81 divisors (see below), whose sum is σ = 192280805552703. Its totient is φ = 46517817503040.

The previous prime is 101128244512499. The next prime is 101128244512679. The reversal of 101128244512516 is 615215442821101.

The square root of 101128244512516 is 10056254.

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 29832242372100 + 71296002140416 = 5461890^2 + 8443696^2 .

It is a super-3 number, since 3×101128244512516³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120534260025 + ... + 120534260863.

Almost surely, 2^{101128244512516} is an apocalyptic number.

101128244512516 is the 10056254-th square number.

It is an amenable number.

101128244512516 is a deficient number, since it is larger than the sum of its proper divisors (91152561040187).

101128244512516 is an frugal number, since it uses more digits than its factorization.

101128244512516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The spelling of 101128244512516 in words is "one hundred one trillion, one hundred twenty-eight billion, two hundred forty-four million, five hundred twelve thousand, five hundred sixteen".