101020302123001 has 2 divisors, whose sum is σ = 101020302123002. Its totient is φ = 101020302123000.

The previous prime is 101020302122933. The next prime is 101020302123017. The reversal of 101020302123001 is 100321203020101.

It is an a-pointer prime, because the next prime (101020302123017) can be obtained adding 101020302123001 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101008530090000 + 11772033001 = 10050300^2 + 108499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020302123001 - 2⁹ = 101020302122489 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020302183001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510151061500 + 50510151061501.

It is an arithmetic number, because the mean of its divisors is an integer number (50510151061501).

Almost surely, 2^{101020302123001} is an apocalyptic number.

It is an amenable number.

101020302123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020302123001 is an equidigital number, since it uses as much as digits as its factorization.

101020302123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101020302123001 its reverse (100321203020101), we get a palindrome (201341505143102).

The spelling of 101020302123001 in words is "one hundred one trillion, twenty billion, three hundred two million, one hundred twenty-three thousand, one".