1022131310121 has 12 divisors (see below), whose sum is σ = 1489956957060. Its totient is φ = 675169305120.

The previous prime is 1022131310113. The next prime is 1022131310177. The reversal of 1022131310121 is 1210131312201.

1022131310121 is a `hidden beast` number, since 1 + 0 + 221 + 313 + 10 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 847202430096 + 174928880025 = 920436^2 + 418245^2 .

It is not a de Polignac number, because 1022131310121 - 2³ = 1022131310113 is a prime.

It is a super-3 number, since 3×1022131310121³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022131310094 and 1022131310103.

It is not an unprimeable number, because it can be changed into a prime (1022131310521) 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 in 11 ways as a sum of consecutive naturals, for example, 520962990 + ... + 520964951.

It is an arithmetic number, because the mean of its divisors is an integer number (124163079755).

Almost surely, 2^{1022131310121} is an apocalyptic number.

It is an amenable number.

1022131310121 is a deficient number, since it is larger than the sum of its proper divisors (467825646939).

1022131310121 is a wasteful number, since it uses less digits than its factorization.

1022131310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041928056 (or 1041928053 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1022131310121 its reverse (1210131312201), we get a palindrome (2232262622322).

The spelling of 1022131310121 in words is "one trillion, twenty-two billion, one hundred thirty-one million, three hundred ten thousand, one hundred twenty-one".