1022131017001 has 2 divisors, whose sum is σ = 1022131017002. Its totient is φ = 1022131017000.

The previous prime is 1022131016999. The next prime is 1022131017029. The reversal of 1022131017001 is 1007101312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 829037565225 + 193093451776 = 910515^2 + 439424^2 .

It is an emirp because it is prime and its reverse (1007101312201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022131017001 - 2¹ = 1022131016999 is a prime.

Together with 1022131016999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1022131017001.

It is not a weakly prime, because it can be changed into another prime (1022131017601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511065508500 + 511065508501.

It is an arithmetic number, because the mean of its divisors is an integer number (511065508501).

Almost surely, 2^{1022131017001} is an apocalyptic number.

It is an amenable number.

1022131017001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022131017001 is an equidigital number, since it uses as much as digits as its factorization.

1022131017001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 1022131017001 its reverse (1007101312201), we get a palindrome (2029232329202).

The spelling of 1022131017001 in words is "one trillion, twenty-two billion, one hundred thirty-one million, seventeen thousand, one".