212121200011101 has 16 divisors (see below), whose sum is σ = 284345531550720. Its totient is φ = 140655690951680.

The previous prime is 212121200011031. The next prime is 212121200011117. The reversal of 212121200011101 is 101110002121212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212121200011101 - 2¹⁹ = 212121199486813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121200011901) 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, 19286316 + ... + 28217093.

It is an arithmetic number, because the mean of its divisors is an integer number (17771595721920).

Almost surely, 2^{212121200011101} is an apocalyptic number.

It is an amenable number.

212121200011101 is a deficient number, since it is larger than the sum of its proper divisors (72224331539619).

212121200011101 is a wasteful number, since it uses less digits than its factorization.

212121200011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47511396.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212121200011101 its reverse (101110002121212), we get a palindrome (313231202132313).

The spelling of 212121200011101 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred million, eleven thousand, one hundred one".