1002121122012 has 24 divisors (see below), whose sum is σ = 2461350124800. Its totient is φ = 316459301616.

The previous prime is 1002121121987. The next prime is 1002121122059. The reversal of 1002121122012 is 2102211212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002121121982 and 1002121122000.

It is a congruent number.

It is an unprimeable number.

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, 2197633812 + ... + 2197634267.

It is an arithmetic number, because the mean of its divisors is an integer number (102556255200).

Almost surely, 2^{1002121122012} is an apocalyptic number.

1002121122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002121122012 is an abundant number, since it is smaller than the sum of its proper divisors (1459229002788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002121122012 is a wasteful number, since it uses less digits than its factorization.

1002121122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395268105 (or 4395268103 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002121122012 its reverse (2102211212001), we get a palindrome (3104332334013).

The spelling of 1002121122012 in words is "one trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, twelve".