101161601 has 2 divisors, whose sum is σ = 101161602. Its totient is φ = 101161600.

The previous prime is 101161579. The next prime is 101161603. The reversal of 101161601 is 106161101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58599025 + 42562576 = 7655^2 + 6524^2 .

It is an emirp because it is prime and its reverse (106161101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101161601 - 2¹⁴ = 101145217 is a prime.

Together with 101161603, 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 101161601.

It is not a weakly prime, because it can be changed into another prime (101161603) 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 as a sum of consecutive naturals, namely, 50580800 + 50580801.

It is an arithmetic number, because the mean of its divisors is an integer number (50580801).

Almost surely, 2^101161601 is an apocalyptic number.

It is an amenable number.

101161601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101161601 is an equidigital number, since it uses as much as digits as its factorization.

101161601 is an odious number, because the sum of its binary digits is odd.

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

The square root of 101161601 is about 10057.9123579399. The cubic root of 101161601 is about 465.9491938077.

It can be divided in two parts, 10 and 1161601, that added together give a palindrome (1161611).

The spelling of 101161601 in words is "one hundred one million, one hundred sixty-one thousand, six hundred one".