1001012221209 has 192 divisors, whose sum is σ = 1899809759232. Its totient is φ = 460429401600.

The previous prime is 1001012221177. The next prime is 1001012221211. The reversal of 1001012221209 is 9021222101001.

It is not a de Polignac number, because 1001012221209 - 2⁵ = 1001012221177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1001012221259) 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 191 ways as a sum of consecutive naturals, for example, 55213104 + ... + 55231230.

It is an arithmetic number, because the mean of its divisors is an integer number (9894842496).

Almost surely, 2^{1001012221209} is an apocalyptic number.

It is an amenable number.

1001012221209 is a deficient number, since it is larger than the sum of its proper divisors (898797538023).

1001012221209 is a wasteful number, since it uses less digits than its factorization.

1001012221209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18276 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

It can be divided in two parts, 1001012 and 221209, that added together give a palindrome (1222221).

The spelling of 1001012221209 in words is "one trillion, one billion, twelve million, two hundred twenty-one thousand, two hundred nine".