21121100002211 has 16 divisors (see below), whose sum is σ = 23054510152800. Its totient is φ = 19189911436800.

The previous prime is 21121100002193. The next prime is 21121100002217. The reversal of 21121100002211 is 11220000112112.

It is a cyclic number.

It is not a de Polignac number, because 21121100002211 - 2²⁶ = 21121032893347 is a prime.

It is a super-2 number, since 2×21121100002211² (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 (21121100002217) 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, 136869245 + ... + 137023473.

It is an arithmetic number, because the mean of its divisors is an integer number (1440906884550).

Almost surely, 2^{21121100002211} is an apocalyptic number.

21121100002211 is a deficient number, since it is larger than the sum of its proper divisors (1933410150589).

21121100002211 is a wasteful number, since it uses less digits than its factorization.

21121100002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161350.

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

Adding to 21121100002211 its reverse (11220000112112), we get a palindrome (32341100114323).

The spelling of 21121100002211 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, two thousand, two hundred eleven".