21122200011101 has 24 divisors (see below), whose sum is σ = 24634337654520. Its totient is φ = 18057874931712.

The previous prime is 21122200011023. The next prime is 21122200011119. The reversal of 21122200011101 is 10111000222112.

It can be written as a sum of positive squares in 4 ways, for example, as 826508265625 + 20295691745476 = 909125^2 + 4505074^2 .

It is not a de Polignac number, because 21122200011101 - 2¹⁰ = 21122200010077 is a prime.

It is a super-2 number, since 2×21122200011101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122200011181) 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 23 ways as a sum of consecutive naturals, for example, 370998605 + ... + 371055533.

It is an arithmetic number, because the mean of its divisors is an integer number (1026430735605).

Almost surely, 2^{21122200011101} is an apocalyptic number.

It is an amenable number.

21122200011101 is a deficient number, since it is larger than the sum of its proper divisors (3512137643419).

21122200011101 is a wasteful number, since it uses less digits than its factorization.

21122200011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76413 (or 76406 counting only the distinct ones).

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

Adding to 21122200011101 its reverse (10111000222112), we get a palindrome (31233200233213).

The spelling of 21122200011101 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred million, eleven thousand, one hundred one".