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212012112202101 = 32215291094193941
BaseRepresentation
bin110000001101001011101010…
…101000101100100101110101
31000210200011022121221210001200
4300031023222220230211311
5210242101301210431401
62030525004134043113
762441240532336561
oct6015135250544565
91023604277853050
10212012112202101
116160a917214932
121b94144b4a9499
13913b86c139a53
143a4d6260aa6a1
151979dc54e5686
hexc0d2eaa2c975

212012112202101 has 12 divisors (see below), whose sum is σ = 306253942426380. Its totient is φ = 141334842841920.

The previous prime is 212012112202031. The next prime is 212012112202103. The reversal of 212012112202101 is 101202211210212.

212012112202101 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 211 + 220 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23769047373201 + 188243064828900 = 4875351^2 + 13720170^2 .

It is not a de Polignac number, because 212012112202101 - 213 = 212012112193909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012112202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546903210 + ... + 547290731.

It is an arithmetic number, because the mean of its divisors is an integer number (25521161868865).

Almost surely, 2212012112202101 is an apocalyptic number.

It is an amenable number.

212012112202101 is a deficient number, since it is larger than the sum of its proper divisors (94241830224279).

212012112202101 is a wasteful number, since it uses less digits than its factorization.

212012112202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094215476 (or 1094215473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212012112202101 its reverse (101202211210212), we get a palindrome (313214323412313).

The spelling of 212012112202101 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 21529 64587 193761 1094193941 3282581823 9847745469 23556901355789 70670704067367 212012112202101