212101112011122 has 36 divisors (see below), whose sum is σ = 485012376649710. Its totient is φ = 66979298527776.

The previous prime is 212101112011073. The next prime is 212101112011123. The reversal of 212101112011122 is 221110211101212.

It is a happy number.

212101112011122 is a `hidden beast` number, since 21 + 210 + 111 + 201 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108066191549121 + 104034920462001 = 10395489^2 + 10199751^2 .

It is a super-2 number, since 2×212101112011122² (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 junction number, because it is equal to n+sod(n) for n = 212101112011095 and 212101112011104.

It is not an unprimeable number, because it can be changed into a prime (212101112011123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16320485347 + ... + 16320498342.

Almost surely, 2^{212101112011122} is an apocalyptic number.

212101112011122 is an abundant number, since it is smaller than the sum of its proper divisors (272911264638588).

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

212101112011122 is a wasteful number, since it uses less digits than its factorization.

212101112011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32640983735 (or 32640983713 counting only the distinct ones).

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

Adding to 212101112011122 its reverse (221110211101212), we get a palindrome (433211323112334).

The spelling of 212101112011122 in words is "two hundred twelve trillion, one hundred one billion, one hundred twelve million, eleven thousand, one hundred twenty-two".