101118276081 has 9 divisors (see below), whose sum is σ = 146061110091. Its totient is φ = 67411548072.

The previous prime is 101118276059. The next prime is 101118276107. The reversal of 101118276081 is 180672811101.

The square root of 101118276081 is 317991.

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

101118276081 is a `hidden beast` number, since 1 + 0 + 11 + 18 + 27 + 608 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36136109025 + 64982167056 = 190095^2 + 254916^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-101118276081 is a prime.

It is a super-2 number, since 2×101118276081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101118276481) 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, 900975 + ... + 1006971.

Almost surely, 2^101118276081 is an apocalyptic number.

101118276081 is the 317991-st square number.

101118276081 is the 158996-th centered octagonal number.

It is an amenable number.

101118276081 is a deficient number, since it is larger than the sum of its proper divisors (44942834010).

101118276081 is an frugal number, since it uses more digits than its factorization.

101118276081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212000 (or 106000 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

Multiplying 101118276081 by its sum of digits (36), we get a square (3640257938916 = 1907946²).

The spelling of 101118276081 in words is "one hundred one billion, one hundred eighteen million, two hundred seventy-six thousand, eighty-one".