212011113121101 has 48 divisors (see below), whose sum is σ = 350927475924480. Its totient is φ = 120823878471840.

The previous prime is 212011113121097. The next prime is 212011113121127. The reversal of 212011113121101 is 101121311110212.

212011113121101 is a `hidden beast` number, since 212 + 0 + 111 + 131 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 212011113121101 - 2² = 212011113121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011113621101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40045090 + ... + 45029228.

It is an arithmetic number, because the mean of its divisors is an integer number (7310989081760).

Almost surely, 2^{212011113121101} is an apocalyptic number.

212011113121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212011113121101 is a deficient number, since it is larger than the sum of its proper divisors (138916362803379).

212011113121101 is a wasteful number, since it uses less digits than its factorization.

212011113121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985966 (or 4985963 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 212011113121101 its reverse (101121311110212), we get a palindrome (313132424231313).

The spelling of 212011113121101 in words is "two hundred twelve trillion, eleven billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred one".