212101121201112 has 192 divisors, whose sum is σ = 684939850882560. Its totient is φ = 58443477523200.

The previous prime is 212101121201111. The next prime is 212101121201141. The reversal of 212101121201112 is 211102121101212.

It is a happy number.

212101121201112 is a `hidden beast` number, since 21 + 210 + 1 + 121 + 201 + 112 = 666.

It is a super-2 number, since 2×212101121201112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101121201111) 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, 153044064 + ... + 154423727.

It is an arithmetic number, because the mean of its divisors is an integer number (3567395056680).

Almost surely, 2^{212101121201112} is an apocalyptic number.

212101121201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212101121201112 is an abundant number, since it is smaller than the sum of its proper divisors (472838729681448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212101121201112 is a wasteful number, since it uses less digits than its factorization.

212101121201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307467894 (or 307467887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212101121201112 its reverse (211102121101212), we get a palindrome (423203242302324).

The spelling of 212101121201112 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-one million, two hundred one thousand, one hundred twelve".