101322101 has 2 divisors, whose sum is σ = 101322102. Its totient is φ = 101322100.

The previous prime is 101322097. The next prime is 101322103. The reversal of 101322101 is 101223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80982001 + 20340100 = 8999^2 + 4510^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322101 - 2² = 101322097 is a prime.

It is a Sophie Germain prime.

Together with 101322103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101322103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661050 + 50661051.

It is an arithmetic number, because the mean of its divisors is an integer number (50661051).

Almost surely, 2^101322101 is an apocalyptic number.

It is an amenable number.

101322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322101 is an equidigital number, since it uses as much as digits as its factorization.

101322101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101322101 is about 10065.8879886476. The cubic root of 101322101 is about 466.1954839982.

Adding to 101322101 its reverse (101223101), we get a palindrome (202545202).

The spelling of 101322101 in words is "one hundred one million, three hundred twenty-two thousand, one hundred one".