101134812289 has 27 divisors (see below), whose sum is σ = 118773384003. Its totient is φ = 85864590000.

The previous prime is 101134812281. The next prime is 101134812293. The reversal of 101134812289 is 982218431101.

The square root of 101134812289 is 318017.

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

It can be written as a sum of positive squares in only one way, i.e., 1114424689 + 100020387600 = 33383^2 + 316260^2 .

It is not a de Polignac number, because 101134812289 - 2³ = 101134812281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101134812281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 402927414 + ... + 402927664.

Almost surely, 2^101134812289 is an apocalyptic number.

101134812289 is the 318017-th square number.

101134812289 is the 159009-th centered octagonal number.

It is an amenable number.

101134812289 is a deficient number, since it is larger than the sum of its proper divisors (17638571714).

101134812289 is an frugal number, since it uses more digits than its factorization.

101134812289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 101134812289 in words is "one hundred one billion, one hundred thirty-four million, eight hundred twelve thousand, two hundred eighty-nine".