1023314220101 has 2 divisors, whose sum is σ = 1023314220102. Its totient is φ = 1023314220100.

The previous prime is 1023314220083. The next prime is 1023314220121. The reversal of 1023314220101 is 1010224133201.

It is an a-pointer prime, because the next prime (1023314220121) can be obtained adding 1023314220101 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 714177108100 + 309137112001 = 845090^2 + 556001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023314220101 - 2⁶ = 1023314220037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023314220121) 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, 511657110050 + 511657110051.

It is an arithmetic number, because the mean of its divisors is an integer number (511657110051).

Almost surely, 2^{1023314220101} is an apocalyptic number.

It is an amenable number.

1023314220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023314220101 is an equidigital number, since it uses as much as digits as its factorization.

1023314220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1023314220101 its reverse (1010224133201), we get a palindrome (2033538353302).

The spelling of 1023314220101 in words is "one trillion, twenty-three billion, three hundred fourteen million, two hundred twenty thousand, one hundred one".