1022131011001 has 8 divisors (see below), whose sum is σ = 1033473076200. Its totient is φ = 1010829238272.

The previous prime is 1022131010987. The next prime is 1022131011023. The reversal of 1022131011001 is 1001101312201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26973135225 + 995157875776 = 164235^2 + 997576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022131011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022131017001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10022100 + ... + 10123573.

It is an arithmetic number, because the mean of its divisors is an integer number (129184134525).

Almost surely, 2^{1022131011001} is an apocalyptic number.

It is an amenable number.

1022131011001 is a deficient number, since it is larger than the sum of its proper divisors (11342065199).

1022131011001 is a wasteful number, since it uses less digits than its factorization.

1022131011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146235.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1022131011001 its reverse (1001101312201), we get a palindrome (2023232323202).

The spelling of 1022131011001 in words is "one trillion, twenty-two billion, one hundred thirty-one million, eleven thousand, one".