10011002211221 has 16 divisors (see below), whose sum is σ = 11565501081408. Its totient is φ = 8564088940800.

The previous prime is 10011002211157. The next prime is 10011002211253. The reversal of 10011002211221 is 12211220011001.

It is a cyclic number.

It is not a de Polignac number, because 10011002211221 - 2⁶ = 10011002211157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011002211196 and 10011002211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002211271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3517715 + ... + 5691776.

It is an arithmetic number, because the mean of its divisors is an integer number (722843817588).

Almost surely, 2^{10011002211221} is an apocalyptic number.

10011002211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011002211221 is a deficient number, since it is larger than the sum of its proper divisors (1554498870187).

10011002211221 is a wasteful number, since it uses less digits than its factorization.

10011002211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215332.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011002211221 its reverse (12211220011001), we get a palindrome (22222222222222).

The spelling of 10011002211221 in words is "ten trillion, eleven billion, two million, two hundred eleven thousand, two hundred twenty-one".