1023101701001 has 2 divisors, whose sum is σ = 1023101701002. Its totient is φ = 1023101701000.

The previous prime is 1023101700991. The next prime is 1023101701003. The reversal of 1023101701001 is 1001071013201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1019996982601 + 3104718400 = 1009949^2 + 55720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023101701001 is a prime.

It is a super-2 number, since 2×1023101701001² (a number of 25 digits) contains 22 as substring.

Together with 1023101701003, 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 (1023101701003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511550850500 + 511550850501.

It is an arithmetic number, because the mean of its divisors is an integer number (511550850501).

Almost surely, 2^{1023101701001} is an apocalyptic number.

It is an amenable number.

1023101701001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023101701001 is an equidigital number, since it uses as much as digits as its factorization.

1023101701001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 1023101701001 its reverse (1001071013201), we get a palindrome (2024172714202).

The spelling of 1023101701001 in words is "one trillion, twenty-three billion, one hundred one million, seven hundred one thousand, one".