101346101 has 2 divisors, whose sum is σ = 101346102. Its totient is φ = 101346100.

The previous prime is 101346031. The next prime is 101346103. The reversal of 101346101 is 101643101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92352100 + 8994001 = 9610^2 + 2999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101346101 is a prime.

Together with 101346103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101346101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101346103) 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 as a sum of consecutive naturals, namely, 50673050 + 50673051.

It is an arithmetic number, because the mean of its divisors is an integer number (50673051).

Almost surely, 2^101346101 is an apocalyptic number.

It is an amenable number.

101346101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101346101 is an equidigital number, since it uses as much as digits as its factorization.

101346101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 101346101 is about 10067.0800632557. The cubic root of 101346101 is about 466.2322900791.

Adding to 101346101 its reverse (101643101), we get a palindrome (202989202).

The spelling of 101346101 in words is "one hundred one million, three hundred forty-six thousand, one hundred one".