1002122131121 has 8 divisors (see below), whose sum is σ = 1054876524000. Its totient is φ = 949368850560.

The previous prime is 1002122131103. The next prime is 1002122131141. The reversal of 1002122131121 is 1211312212001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1002122131121 - 2¹⁸ = 1002121868977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002122131121.

It is not an unprimeable number, because it can be changed into a prime (1002122131141) 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 in 7 ways as a sum of consecutive naturals, for example, 2087105 + ... + 2521953.

It is an arithmetic number, because the mean of its divisors is an integer number (131859565500).

Almost surely, 2^{1002122131121} is an apocalyptic number.

It is an amenable number.

1002122131121 is a deficient number, since it is larger than the sum of its proper divisors (52754392879).

1002122131121 is a wasteful number, since it uses less digits than its factorization.

1002122131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556159.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1002122131121 its reverse (1211312212001), we get a palindrome (2213434343122).

The spelling of 1002122131121 in words is "one trillion, two billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-one".