101409101 has 2 divisors, whose sum is σ = 101409102. Its totient is φ = 101409100.

The previous prime is 101409067. The next prime is 101409103. The reversal of 101409101 is 101904101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100600900 + 808201 = 10030^2 + 899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101409101 is a prime.

Together with 101409103, 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 101409101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101409103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50704550 + 50704551.

It is an arithmetic number, because the mean of its divisors is an integer number (50704551).

Almost surely, 2^101409101 is an apocalyptic number.

It is an amenable number.

101409101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101409101 is an equidigital number, since it uses as much as digits as its factorization.

101409101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 101409101 is about 10070.2085877106. The cubic root of 101409101 is about 466.3288784028.

The spelling of 101409101 in words is "one hundred one million, four hundred nine thousand, one hundred one".