101323101 has 12 divisors (see below), whose sum is σ = 148496096. Its totient is φ = 61407720.

The previous prime is 101323069. The next prime is 101323133.

101323101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (101323069) and next prime (101323133).

It is not a de Polignac number, because 101323101 - 2⁵ = 101323069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101323171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139201 + ... + 139926.

Almost surely, 2^101323101 is an apocalyptic number.

101323101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101323101 is a deficient number, since it is larger than the sum of its proper divisors (47172995).

101323101 is a wasteful number, since it uses less digits than its factorization.

101323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279152 (or 279141 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101323101 is about 10065.9376612415. The cubic root of 101323101 is about 466.1970177010.

The spelling of 101323101 in words is "one hundred one million, three hundred twenty-three thousand, one hundred one".