20101221102211 has 8 divisors (see below), whose sum is σ = 20300728683600. Its totient is φ = 19901723042400.

The previous prime is 20101221102197. The next prime is 20101221102227. The reversal of 20101221102211 is 11220112210102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20101221102211 - 2²¹ = 20101219005059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101221102241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900825 + ... + 6619333.

It is an arithmetic number, because the mean of its divisors is an integer number (2537591085450).

Almost surely, 2^{20101221102211} is an apocalyptic number.

20101221102211 is a deficient number, since it is larger than the sum of its proper divisors (199507581389).

20101221102211 is a wasteful number, since it uses less digits than its factorization.

20101221102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760789.

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

Adding to 20101221102211 its reverse (11220112210102), we get a palindrome (31321333312313).

The spelling of 20101221102211 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred two thousand, two hundred eleven".