101605121 has 4 divisors (see below), whose sum is σ = 101930052. Its totient is φ = 101280192.

The previous prime is 101605109. The next prime is 101605171. The reversal of 101605121 is 121506101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121506101 = 1783 ⋅68147.

It can be written as a sum of positive squares in 2 ways, for example, as 12567025 + 89038096 = 3545^2 + 9436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101605121 is a prime.

It is a super-2 number, since 2×101605121² = 20647201226849282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101605121.

It is not an unprimeable number, because it can be changed into a prime (101605171) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161996 + ... + 162621.

It is an arithmetic number, because the mean of its divisors is an integer number (25482513).

Almost surely, 2^101605121 is an apocalyptic number.

It is an amenable number.

101605121 is a deficient number, since it is larger than the sum of its proper divisors (324931).

101605121 is an equidigital number, since it uses as much as digits as its factorization.

101605121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324930.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 101605121 is about 10079.9365573400. The cubic root of 101605121 is about 466.6291504421.

The spelling of 101605121 in words is "one hundred one million, six hundred five thousand, one hundred twenty-one".