101361121 has 8 divisors (see below), whose sum is σ = 102702600. Its totient is φ = 100024320.

The previous prime is 101361101. The next prime is 101361131. The reversal of 101361121 is 121163101.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 99500625 = 1364^2 + 9975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101361121 - 2¹¹ = 101359073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101361095 and 101361104.

It is not an unprimeable number, because it can be changed into a prime (101361101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67701 + ... + 69181.

It is an arithmetic number, because the mean of its divisors is an integer number (12837825).

Almost surely, 2^101361121 is an apocalyptic number.

It is an amenable number.

101361121 is a deficient number, since it is larger than the sum of its proper divisors (1341479).

101361121 is an equidigital number, since it uses as much as digits as its factorization.

101361121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 101361121 is about 10067.8260314727. The cubic root of 101361121 is about 466.2553215952.

The spelling of 101361121 in words is "one hundred one million, three hundred sixty-one thousand, one hundred twenty-one".