101144989089 has 21 divisors (see below), whose sum is σ = 151660986753. Its totient is φ = 67424268132.

The previous prime is 101144989079. The next prime is 101144989171. The reversal of 101144989089 is 980989441101.

The square root of 101144989089 is 318033.

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

101144989089 is a `hidden beast` number, since 101 + 1 + 449 + 8 + 90 + 8 + 9 = 666.

It is not a de Polignac number, because 101144989089 - 2¹³ = 101144980897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101144989009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8581002 + ... + 8592780.

Almost surely, 2^101144989089 is an apocalyptic number.

101144989089 is the 318033-rd square number.

101144989089 is the 159017-th centered octagonal number.

It is an amenable number.

101144989089 is a deficient number, since it is larger than the sum of its proper divisors (50515997664).

101144989089 is an frugal number, since it uses more digits than its factorization.

101144989089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23576 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 101144989089 in words is "one hundred one billion, one hundred forty-four million, nine hundred eighty-nine thousand, eighty-nine".