101102230001 has 2 divisors, whose sum is σ = 101102230002. Its totient is φ = 101102230000.

The previous prime is 101102229973. The next prime is 101102230003. The reversal of 101102230001 is 100032201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83789986225 + 17312243776 = 289465^2 + 131576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102230001 is a prime.

It is a super-2 number, since 2×101102230001² (a number of 23 digits) contains 22 as substring.

Together with 101102230003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101102230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551115000 + 50551115001.

It is an arithmetic number, because the mean of its divisors is an integer number (50551115001).

Almost surely, 2^101102230001 is an apocalyptic number.

It is an amenable number.

101102230001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102230001 is an equidigital number, since it uses as much as digits as its factorization.

101102230001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101102230001 its reverse (100032201101), we get a palindrome (201134431102).

The spelling of 101102230001 in words is "one hundred one billion, one hundred two million, two hundred thirty thousand, one".