1002112211221 has 48 divisors (see below), whose sum is σ = 1176698880000. Its totient is φ = 850285481760.

The previous prime is 1002112211189. The next prime is 1002112211231. The reversal of 1002112211221 is 1221122112001.

It is not a de Polignac number, because 1002112211221 - 2⁵ = 1002112211189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002112211195 and 1002112211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112211231) 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 47 ways as a sum of consecutive naturals, for example, 86990700 + ... + 87002218.

It is an arithmetic number, because the mean of its divisors is an integer number (24514560000).

Almost surely, 2^{1002112211221} is an apocalyptic number.

1002112211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002112211221 is a deficient number, since it is larger than the sum of its proper divisors (174586668779).

1002112211221 is a wasteful number, since it uses less digits than its factorization.

1002112211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12118 (or 12107 counting only the distinct ones).

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

Adding to 1002112211221 its reverse (1221122112001), we get a palindrome (2223234323222).

The spelling of 1002112211221 in words is "one trillion, two billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty-one".