21011100011211 has 32 divisors (see below), whose sum is σ = 29821071974400. Its totient is φ = 13113074923520.

The previous prime is 21011100011141. The next prime is 21011100011269. The reversal of 21011100011211 is 11211000111012.

It is a cyclic number.

It is not a de Polignac number, because 21011100011211 - 2¹⁷ = 21011099880139 is a prime.

It is a super-3 number, since 3×21011100011211³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21011100010211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100120330 + ... + 100329968.

It is an arithmetic number, because the mean of its divisors is an integer number (931908499200).

Almost surely, 2^{21011100011211} is an apocalyptic number.

21011100011211 is a deficient number, since it is larger than the sum of its proper divisors (8809971963189).

21011100011211 is a wasteful number, since it uses less digits than its factorization.

21011100011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220139.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21011100011211 its reverse (11211000111012), we get a palindrome (32222100122223).

The spelling of 21011100011211 in words is "twenty-one trillion, eleven billion, one hundred million, eleven thousand, two hundred eleven".