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212101121121201 = 3413316497598907
BaseRepresentation
bin110000001110011110100011…
…111110110001101110110001
31000210222200001210221100210000
4300032132203332301232301
5210300031044001334301
62031033524312100213
762450541335560464
oct6016364376615661
91023880053840700
10212101121121201
11616446424541a4
121b956750394669
139147085825710
143a53a6b4dd2db
15197c384853786
hexc0e7a3fb1bb1

212101121121201 has 40 divisors (see below), whose sum is σ = 352221841604864. Its totient is φ = 126313322732640.

The previous prime is 212101121121193. The next prime is 212101121121217. The reversal of 212101121121201 is 102121121101212.

It is a happy number.

212101121121201 is a `hidden beast` number, since 21 + 210 + 1 + 1 + 211 + 21 + 201 = 666.

It is not a de Polignac number, because 212101121121201 - 23 = 212101121121193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212101121121101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3248766811 + ... + 3248832096.

Almost surely, 2212101121121201 is an apocalyptic number.

It is an amenable number.

212101121121201 is a deficient number, since it is larger than the sum of its proper divisors (140120720483663).

212101121121201 is a wasteful number, since it uses less digits than its factorization.

212101121121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497598963 (or 6497598954 counting only the distinct ones).

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

Adding to 212101121121201 its reverse (102121121101212), we get a palindrome (314222242222413).

The spelling of 212101121121201 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 13 27 31 39 81 93 117 279 351 403 837 1053 1209 2511 3627 10881 32643 6497598907 19492796721 58478390163 84468785791 175435170489 201425566117 253406357373 526305511467 604276698351 760219072119 1812830095053 2280657216357 2618532359521 5438490285159 6841971649071 7855597078563 16315470855477 23566791235689 70700373707067 212101121121201