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200212122100121 = 22325717389200899
BaseRepresentation
bin101101100001011110000100…
…011010101110000110011001
3222020220002111000210020021222
4231201132010122232012121
5202220233411224200441
61545452102410141425
760112564012364345
oct5541360432560631
9866802430706258
10200212122100121
115888053645180a
121a55654a721875
138793bcab23661
143762465a28625
151822e9b851d4b
hexb617846ae199

200212122100121 has 16 divisors (see below), whose sum is σ = 201905078592000. Its totient is φ = 198526362144768.

The previous prime is 200212122100097. The next prime is 200212122100157. The reversal of 200212122100121 is 121001221212002.

It is a cyclic number.

It is not a de Polignac number, because 200212122100121 - 210 = 200212122099097 is a prime.

It is a super-4 number, since 4×2002121221001214 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200212122100121.

It is not an unprimeable number, because it can be changed into a prime (200212122100171) 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 15 ways as a sum of consecutive naturals, for example, 996480530 + ... + 996681428.

It is an arithmetic number, because the mean of its divisors is an integer number (12619067412000).

Almost surely, 2200212122100121 is an apocalyptic number.

It is an amenable number.

200212122100121 is a deficient number, since it is larger than the sum of its proper divisors (1692956491879).

200212122100121 is a wasteful number, since it uses less digits than its factorization.

200212122100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218768.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200212122100121 its reverse (121001221212002), we get a palindrome (321213343312123).

The spelling of 200212122100121 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-one".

Divisors: 1 223 257 17389 57311 200899 3877747 4468973 44800477 51631043 996580979 3493432711 11513722589 779035494553 897812206727 200212122100121