1022134235121 has 64 divisors (see below), whose sum is σ = 1542501999360. Its totient is φ = 668856268800.

The previous prime is 1022134235051. The next prime is 1022134235123. The reversal of 1022134235121 is 1215324312201.

It is a happy number.

1022134235121 is a `hidden beast` number, since 1 + 0 + 2 + 213 + 423 + 5 + 1 + 21 = 666.

It is not a de Polignac number, because 1022134235121 - 2¹⁹ = 1022133710833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022134235123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237869445 + ... + 237873741.

It is an arithmetic number, because the mean of its divisors is an integer number (24101593740).

Almost surely, 2^{1022134235121} is an apocalyptic number.

It is an amenable number.

1022134235121 is a deficient number, since it is larger than the sum of its proper divisors (520367764239).

1022134235121 is a wasteful number, since it uses less digits than its factorization.

1022134235121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1022134235121 its reverse (1215324312201), we get a palindrome (2237458547322).

It can be divided in two parts, 102213 and 4235121, that added together give a palindrome (4337334).

The spelling of 1022134235121 in words is "one trillion, twenty-two billion, one hundred thirty-four million, two hundred thirty-five thousand, one hundred twenty-one".