101917282877281 has 3 divisors (see below), whose sum is σ = 101917292972691. Its totient is φ = 101917272781872.

The previous prime is 101917282877239. The next prime is 101917282877309. The reversal of 101917282877281 is 182778282719101.

The square root of 101917282877281 is 10095409.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 67335826517281 + 34581456360000 = 8205841^2 + 5880600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101917282877281 is a prime.

It is a super-2 number, since 2×101917282877281² (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 (101917282877581) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5047705 + ... + 15143113.

It is an arithmetic number, because the mean of its divisors is an integer number (33972430990897).

Almost surely, 2^{101917282877281} is an apocalyptic number.

101917282877281 is the 10095409-th square number.

101917282877281 is the 5047705-th centered octagonal number.

It is an amenable number.

101917282877281 is a deficient number, since it is larger than the sum of its proper divisors (10095410).

101917282877281 is an frugal number, since it uses more digits than its factorization.

101917282877281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20190818 (or 10095409 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 64.

The spelling of 101917282877281 in words is "one hundred one trillion, nine hundred seventeen billion, two hundred eighty-two million, eight hundred seventy-seven thousand, two hundred eighty-one".