21121101100211 has 16 divisors (see below), whose sum is σ = 24409884625920. Its totient is φ = 17900192840640.

The previous prime is 21121101100207. The next prime is 21121101100213. The reversal of 21121101100211 is 11200110112112.

It is a cyclic number.

It is not a de Polignac number, because 21121101100211 - 2² = 21121101100207 is a prime.

It is a super-2 number, since 2×21121101100211² (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 (21121101100213) 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, 109882790 + ... + 110074836.

It is an arithmetic number, because the mean of its divisors is an integer number (1525617789120).

Almost surely, 2^{21121101100211} is an apocalyptic number.

21121101100211 is a deficient number, since it is larger than the sum of its proper divisors (3288783525709).

21121101100211 is a wasteful number, since it uses less digits than its factorization.

21121101100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368674.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21121101100211 its reverse (11200110112112), we get a palindrome (32321211212323).

The spelling of 21121101100211 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred thousand, two hundred eleven".