211200110000021 has 16 divisors (see below), whose sum is σ = 222370503600960. Its totient is φ = 200035180575360.

The previous prime is 211200110000017. The next prime is 211200110000029. The reversal of 211200110000021 is 120000011002112.

It is a cyclic number.

It is not a de Polignac number, because 211200110000021 - 2² = 211200110000017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211200109999957 and 211200110000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200110000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286238385 + ... + 2286330761.

It is an arithmetic number, because the mean of its divisors is an integer number (13898156475060).

Almost surely, 2^{211200110000021} is an apocalyptic number.

It is an amenable number.

211200110000021 is a deficient number, since it is larger than the sum of its proper divisors (11170393600939).

211200110000021 is a wasteful number, since it uses less digits than its factorization.

211200110000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120644.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211200110000021 its reverse (120000011002112), we get a palindrome (331200121002133).

The spelling of 211200110000021 in words is "two hundred eleven trillion, two hundred billion, one hundred ten million, twenty-one", and thus it is an aban number.