1002122012021 has 16 divisors (see below), whose sum is σ = 1116774702960. Its totient is φ = 892856079360.

The previous prime is 1002122011997. The next prime is 1002122012057. The reversal of 1002122012021 is 1202102212001.

It can be written as a sum of positive squares in 8 ways, for example, as 78910428100 + 923211583921 = 280910^2 + 960839^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002122012021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002122011987 and 1002122012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122092021) 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 15 ways as a sum of consecutive naturals, for example, 781421 + ... + 1617053.

It is an arithmetic number, because the mean of its divisors is an integer number (69798418935).

Almost surely, 2^{1002122012021} is an apocalyptic number.

It is an amenable number.

1002122012021 is a deficient number, since it is larger than the sum of its proper divisors (114652690939).

1002122012021 is a wasteful number, since it uses less digits than its factorization.

1002122012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838856.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002122012021 its reverse (1202102212001), we get a palindrome (2204224224022).

The spelling of 1002122012021 in words is "one trillion, two billion, one hundred twenty-two million, twelve thousand, twenty-one".