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202120100222121 = 32296783349939799
BaseRepresentation
bin101101111101001111000000…
…110001101001010010101001
3222111122111022022020022221100
4231331033000301221102221
5202443013431124101441
61553512405303032013
760400460335004004
oct5575170061512251
9874574268208840
10202120100222121
1159446720351654
121a80429073b609
1388a1ac76cb233
1437ca944c6853b
15185791ac1ccb6
hexb7d3c0c694a9

202120100222121 has 96 divisors (see below), whose sum is σ = 310315824000000. Its totient is φ = 126575054331264.

The previous prime is 202120100222119. The next prime is 202120100222171. The reversal of 202120100222121 is 121222001021202.

It is a happy number.

202120100222121 is a `hidden beast` number, since 202 + 1 + 20 + 100 + 222 + 121 = 666.

202120100222121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202120100222121 - 21 = 202120100222119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202120100222094 and 202120100222103.

It is not an unprimeable number, because it can be changed into a prime (202120100222171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5078502180 + ... + 5078541978.

It is an arithmetic number, because the mean of its divisors is an integer number (3232456500000).

Almost surely, 2202120100222121 is an apocalyptic number.

It is an amenable number.

202120100222121 is a deficient number, since it is larger than the sum of its proper divisors (108195723777879).

202120100222121 is a wasteful number, since it uses less digits than its factorization.

202120100222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43483 (or 43480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202120100222121 its reverse (121222001021202), we get a palindrome (323342101243323).

The spelling of 202120100222121 in words is "two hundred two trillion, one hundred twenty billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 29 67 83 87 201 249 261 603 747 1943 2407 3499 5561 5829 7221 10497 16683 17487 21663 31491 39799 50049 101471 119397 161269 234433 290417 304413 358191 483807 703299 871251 913239 1154171 1451421 2109897 2613753 2666533 3303317 3462513 6798557 7999599 8422093 9909951 10387539 19457939 20395671 23998797 25266279 29729853 58373817 61187013 75798837 77329457 95796193 139256701 175121451 221322239 231988371 287388579 417770103 564280231 663966717 695965113 862165737 1253310309 1692840693 1991900151 4038444329 5078522079 6418344931 9330198967 11558306183 12115332987 19255034793 27990596901 34674918549 36345998961 57765104379 83971790703 104024755647 270575770043 335190879307 774406514261 811727310129 1005572637921 2323219542783 2435181930387 3016717913763 6969658628349 22457788913569 67373366740707 202120100222121