101111321 has 2 divisors, whose sum is σ = 101111322. Its totient is φ = 101111320.

The previous prime is 101111317. The next prime is 101111327. The reversal of 101111321 is 123111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82101721 + 19009600 = 9061^2 + 4360^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111321 - 2² = 101111317 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101111327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555660 + 50555661.

It is an arithmetic number, because the mean of its divisors is an integer number (50555661).

Almost surely, 2^101111321 is an apocalyptic number.

It is an amenable number.

101111321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111321 is an equidigital number, since it uses as much as digits as its factorization.

101111321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 101111321 is about 10055.4125226169. The cubic root of 101111321 is about 465.8719846436.

Subtracting from 101111321 its sum of digits (11), we obtain a triangular number (101111310 = T₁₄₂₂₀).

Adding to 101111321 its reverse (123111101), we get a palindrome (224222422).

The spelling of 101111321 in words is "one hundred one million, one hundred eleven thousand, three hundred twenty-one".