21101211221101 has 24 divisors (see below), whose sum is σ = 23232587095872. Its totient is φ = 19150942272000.

The previous prime is 21101211221029. The next prime is 21101211221117. The reversal of 21101211221101 is 10112211210112.

It is not a de Polignac number, because 21101211221101 - 2²¹ = 21101209123949 is a prime.

It is a super-2 number, since 2×21101211221101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101211221141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187271886 + ... + 187384528.

It is an arithmetic number, because the mean of its divisors is an integer number (968024462328).

Almost surely, 2^{21101211221101} is an apocalyptic number.

It is an amenable number.

21101211221101 is a deficient number, since it is larger than the sum of its proper divisors (2131375874771).

21101211221101 is a wasteful number, since it uses less digits than its factorization.

21101211221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115233 (or 115222 counting only the distinct ones).

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

Adding to 21101211221101 its reverse (10112211210112), we get a palindrome (31213422431213).

It can be divided in two parts, 21101211 and 221101, that added together give a palindrome (21322312).

The spelling of 21101211221101 in words is "twenty-one trillion, one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".