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101101101 = 3101333667

101101101 has 8 divisors (see below), whose sum is σ = 136136544. Its totient is φ = 66733200.

The previous prime is 101101087. The next prime is 101101103.

101101101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101101101 - 25 = 101101069 is a prime.

101101101 is a strobogrammatic number because it is the same when read upside-down.

101101101 is a modest number, since divided by 101101 gives 101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166531 + ... + 167136.

It is an arithmetic number, because the mean of its divisors is an integer number (17017068).

Almost surely, 2101101101 is an apocalyptic number.

It is an amenable number.

101101101 is a deficient number, since it is larger than the sum of its proper divisors (35035443).

101101101 is a wasteful number, since it uses less digits than its factorization.

101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333771.

The product of its (nonzero) digits is 1, while the sum is 6.

The square root of 101101101 is about 10054.9043257507. The cubic root of 101101101 is about 465.8562878450.

It can be divided in two parts, 101101 and 101, that multiplied together give a palindrome (10211201).

The spelling of 101101101 in words is "one hundred one million, one hundred one thousand, one hundred one".

Divisors: 1 3 101 303 333667 1001001 33700367 101101101