212011201111101 has 24 divisors (see below), whose sum is σ = 330020825015520. Its totient is φ = 120711895813152.

The previous prime is 212011201111097. The next prime is 212011201111123. The reversal of 212011201111101 is 101111102110212.

It is not a de Polignac number, because 212011201111101 - 2² = 212011201111097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011201115101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2603304171 + ... + 2603385608.

It is an arithmetic number, because the mean of its divisors is an integer number (13750867708980).

Almost surely, 2^{212011201111101} is an apocalyptic number.

212011201111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212011201111101 is a deficient number, since it is larger than the sum of its proper divisors (118009623904419).

212011201111101 is a wasteful number, since it uses less digits than its factorization.

212011201111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206690073 (or 5206690066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 212011201111101 its reverse (101111102110212), we get a palindrome (313122303221313).

The spelling of 212011201111101 in words is "two hundred twelve trillion, eleven billion, two hundred one million, one hundred eleven thousand, one hundred one".