211200222100021 has 64 divisors (see below), whose sum is σ = 281383087472640. Its totient is φ = 153558054720000.

The previous prime is 211200222100009. The next prime is 211200222100027. The reversal of 211200222100021 is 120001222002112.

It is a happy number.

It is not a de Polignac number, because 211200222100021 - 2²⁵ = 211200188545589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211200222099968 and 211200222100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200222100027) 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 63 ways as a sum of consecutive naturals, for example, 24481065 + ... + 31964401.

It is an arithmetic number, because the mean of its divisors is an integer number (4396610741760).

Almost surely, 2^{211200222100021} is an apocalyptic number.

It is an amenable number.

211200222100021 is a deficient number, since it is larger than the sum of its proper divisors (70182865372619).

211200222100021 is a wasteful number, since it uses less digits than its factorization.

211200222100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483666.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211200222100021 its reverse (120001222002112), we get a palindrome (331201444102133).

The spelling of 211200222100021 in words is "two hundred eleven trillion, two hundred billion, two hundred twenty-two million, one hundred thousand, twenty-one".