101335110001 has 2 divisors, whose sum is σ = 101335110002. Its totient is φ = 101335110000.

The previous prime is 101335109989. The next prime is 101335110011. The reversal of 101335110001 is 100011533101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72995070976 + 28340039025 = 270176^2 + 168345^2 .

It is a cyclic number.

It is not a de Polignac number, because 101335110001 - 2⁷ = 101335109873 is a prime.

It is not a weakly prime, because it can be changed into another prime (101335110011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50667555000 + 50667555001.

It is an arithmetic number, because the mean of its divisors is an integer number (50667555001).

Almost surely, 2^101335110001 is an apocalyptic number.

It is an amenable number.

101335110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101335110001 is an equidigital number, since it uses as much as digits as its factorization.

101335110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 16.

Adding to 101335110001 its reverse (100011533101), we get a palindrome (201346643102).

The spelling of 101335110001 in words is "one hundred one billion, three hundred thirty-five million, one hundred ten thousand, one".