21201122100009 has 32 divisors (see below), whose sum is σ = 28986880057344. Its totient is φ = 13776131154240.

The previous prime is 21201122099999. The next prime is 21201122100023. The reversal of 21201122100009 is 90000122110212.

It is not a de Polignac number, because 21201122100009 - 2⁸ = 21201122099753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21201122100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252644152 + ... + 252728054.

It is an arithmetic number, because the mean of its divisors is an integer number (905840001792).

Almost surely, 2^{21201122100009} is an apocalyptic number.

It is an amenable number.

21201122100009 is a deficient number, since it is larger than the sum of its proper divisors (7785757957335).

21201122100009 is a wasteful number, since it uses less digits than its factorization.

21201122100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88077.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 21201122100009 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, one hundred thousand, nine".