212121211111101 has 128 divisors (see below), whose sum is σ = 344608102840320. Its totient is φ = 128438618112000.

The previous prime is 212121211111079. The next prime is 212121211111109. The reversal of 212121211111101 is 101111112121212.

212121211111101 is a `hidden beast` number, since 212 + 121 + 211 + 11 + 110 + 1 = 666.

It is not a de Polignac number, because 212121211111101 - 2¹³ = 212121211102909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121211111109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 524906415 + ... + 525310371.

It is an arithmetic number, because the mean of its divisors is an integer number (2692250803440).

Almost surely, 2^{212121211111101} is an apocalyptic number.

It is an amenable number.

212121211111101 is a deficient number, since it is larger than the sum of its proper divisors (132486891729219).

212121211111101 is a wasteful number, since it uses less digits than its factorization.

212121211111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404372 (or 404366 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 212121211111101 its reverse (101111112121212), we get a palindrome (313232323232313).

The spelling of 212121211111101 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred one".