1002121221211 has 16 divisors (see below), whose sum is σ = 1153163750400. Its totient is φ = 861269004000.

The previous prime is 1002121221163. The next prime is 1002121221221. The reversal of 1002121221211 is 1121221212001.

It is a cyclic number.

It is not a de Polignac number, because 1002121221211 - 2⁷ = 1002121221083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002121221221) 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, 4904940 + ... + 5105161.

It is an arithmetic number, because the mean of its divisors is an integer number (72072734400).

Almost surely, 2^{1002121221211} is an apocalyptic number.

1002121221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002121221211 is a deficient number, since it is larger than the sum of its proper divisors (151042529189).

1002121221211 is a wasteful number, since it uses less digits than its factorization.

1002121221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010610.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1002121221211 its reverse (1121221212001), we get a palindrome (2123342433212).

The spelling of 1002121221211 in words is "one trillion, two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred eleven".