1002121021121 has 16 divisors (see below), whose sum is σ = 1116901989888. Its totient is φ = 891441331200.

The previous prime is 1002121021093. The next prime is 1002121021199. The reversal of 1002121021121 is 1211201212001.

It is a cyclic number.

It is not a de Polignac number, because 1002121021121 - 2¹⁴ = 1002121004737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002121021096 and 1002121021105.

It is not an unprimeable number, because it can be changed into a prime (1002121026121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739601 + ... + 3998606.

It is an arithmetic number, because the mean of its divisors is an integer number (69806374368).

Almost surely, 2^{1002121021121} is an apocalyptic number.

1002121021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002121021121 is a deficient number, since it is larger than the sum of its proper divisors (114780968767).

1002121021121 is a wasteful number, since it uses less digits than its factorization.

1002121021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738472.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002121021121 its reverse (1211201212001), we get a palindrome (2213322233122).

The spelling of 1002121021121 in words is "one trillion, two billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-one".