21101112102211 has 16 divisors (see below), whose sum is σ = 21251994312960. Its totient is φ = 20950888926240.

The previous prime is 21101112102179. The next prime is 21101112102241. The reversal of 21101112102211 is 11220121110112.

It is a cyclic number.

It is not a de Polignac number, because 21101112102211 - 2⁵ = 21101112102179 is a prime.

It is a super-2 number, since 2×21101112102211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101112102241) 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, 92733600 + ... + 92960866.

It is an arithmetic number, because the mean of its divisors is an integer number (1328249644560).

Almost surely, 2^{21101112102211} is an apocalyptic number.

21101112102211 is a deficient number, since it is larger than the sum of its proper divisors (150882210749).

21101112102211 is a wasteful number, since it uses less digits than its factorization.

21101112102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228714.

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

Adding to 21101112102211 its reverse (11220121110112), we get a palindrome (32321233212323).

The spelling of 21101112102211 in words is "twenty-one trillion, one hundred one billion, one hundred twelve million, one hundred two thousand, two hundred eleven".