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212122112121101 = 72133186831044931
BaseRepresentation
bin110000001110110010000111…
…001001000101100100001101
31000211001200020201012122022202
4300032302013021011210031
5210300402041200333401
62031051315242051245
762452213453252100
oct6016620711054415
91024050221178282
10212122112121101
116165253430a0a6
121b95a82a1a9b25
13914904c608b10
143a54a9d26c737
15197cbb25c406b
hexc0ec8724590d

212122112121101 has 24 divisors (see below), whose sum is σ = 265736481371424. Its totient is φ = 167832192659040.

The previous prime is 212122112121041. The next prime is 212122112121113. The reversal of 212122112121101 is 101121211221212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-212122112121101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122112121901) 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, 202478606 + ... + 203523536.

It is an arithmetic number, because the mean of its divisors is an integer number (11072353390476).

Almost surely, 2212122112121101 is an apocalyptic number.

It is an amenable number.

212122112121101 is a deficient number, since it is larger than the sum of its proper divisors (53614369250323).

212122112121101 is a wasteful number, since it uses less digits than its factorization.

212122112121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363641 (or 1363634 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212122112121101 its reverse (101121211221212), we get a palindrome (313243323342313).

The spelling of 212122112121101 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 7 13 49 91 637 318683 1044931 2230781 4142879 7314517 13584103 15615467 29000153 51201619 95088721 203001071 665621047 333001745873 2331012221111 4329022696349 16317085547777 30303158874443 212122112121101