21211001000111 has 32 divisors (see below), whose sum is σ = 24488661415680. Its totient is φ = 18197485069824.

The previous prime is 21211001000071. The next prime is 21211001000117. The reversal of 21211001000111 is 11100010011212.

It is a cyclic number.

It is not a de Polignac number, because 21211001000111 - 2⁶ = 21211001000047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21211001000092 and 21211001000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211001000117) 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, 40885580 + ... + 41401118.

It is an arithmetic number, because the mean of its divisors is an integer number (765270669240).

Almost surely, 2^{21211001000111} is an apocalyptic number.

21211001000111 is a deficient number, since it is larger than the sum of its proper divisors (3277660415569).

21211001000111 is a wasteful number, since it uses less digits than its factorization.

21211001000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517895.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21211001000111 its reverse (11100010011212), we get a palindrome (32311011011323).

The spelling of 21211001000111 in words is "twenty-one trillion, two hundred eleven billion, one million, one hundred eleven", and thus it is an aban number.