101111113321 has 4 divisors (see below), whose sum is σ = 101117421700. Its totient is φ = 101104804944.

The previous prime is 101111113309. The next prime is 101111113339. The reversal of 101111113321 is 123311111101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123311111101 = 19 ⋅6490058479.

It can be written as a sum of positive squares in 2 ways, for example, as 32846487696 + 68264625625 = 181236^2 + 261275^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111113321 - 2¹⁹ = 101110589033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111113295 and 101111113304.

It is not an unprimeable number, because it can be changed into a prime (101111113361) 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, 3130086 + ... + 3162223.

It is an arithmetic number, because the mean of its divisors is an integer number (25279355425).

Almost surely, 2^101111113321 is an apocalyptic number.

It is an amenable number.

101111113321 is a deficient number, since it is larger than the sum of its proper divisors (6308379).

101111113321 is an equidigital number, since it uses as much as digits as its factorization.

101111113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308378.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 101111113321 its reverse (123311111101), we get a palindrome (224422224422).

The spelling of 101111113321 in words is "one hundred one billion, one hundred eleven million, one hundred thirteen thousand, three hundred twenty-one".