21121102221101 has 16 divisors (see below), whose sum is σ = 21688819987968. Its totient is φ = 20555940806400.

The previous prime is 21121102221091. The next prime is 21121102221161. The reversal of 21121102221101 is 10112220112112.

It is a cyclic number.

It is not a de Polignac number, because 21121102221101 - 2³⁴ = 21103922351917 is a prime.

It is a super-2 number, since 2×21121102221101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21121102221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121102221161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31599281 + ... + 32260761.

It is an arithmetic number, because the mean of its divisors is an integer number (1355551249248).

Almost surely, 2^{21121102221101} is an apocalyptic number.

It is an amenable number.

21121102221101 is a deficient number, since it is larger than the sum of its proper divisors (567717766867).

21121102221101 is a wasteful number, since it uses less digits than its factorization.

21121102221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663412.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21121102221101 its reverse (10112220112112), we get a palindrome (31233322333213).

The spelling of 21121102221101 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty-one thousand, one hundred one".