211211111120101 has 8 divisors (see below), whose sum is σ = 224528747623200. Its totient is φ = 198113600840400.

The previous prime is 211211111120099. The next prime is 211211111120131. The reversal of 211211111120101 is 101021111112112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211211111120101 - 2¹ = 211211111120099 is a prime.

It is a super-2 number, since 2×211211111120101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211111120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55031553871 + ... + 55031557708.

It is an arithmetic number, because the mean of its divisors is an integer number (28066093452900).

Almost surely, 2^{211211111120101} is an apocalyptic number.

It is an amenable number.

211211111120101 is a deficient number, since it is larger than the sum of its proper divisors (13317636503099).

211211111120101 is a wasteful number, since it uses less digits than its factorization.

211211111120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110063111699.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211211111120101 its reverse (101021111112112), we get a palindrome (312232222232213).

The spelling of 211211111120101 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty thousand, one hundred one".