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211201121102121 = 33193132574077551
BaseRepresentation
bin110000000001011000010111…
…110011001010100100101001
31000200210122000021010022101000
4300001120113303022210221
5210140304344000231441
62025104242224145213
762325530444620353
oct6001302763124451
91020718007108330
10211201121102121
116132798a951037
121b830238168209
1390b0246060a27
143a222901100d3
151963c5c3212b6
hexc01617cca929

211201121102121 has 64 divisors (see below), whose sum is σ = 340087409049600. Its totient is φ = 129047607216000.

The previous prime is 211201121102093. The next prime is 211201121102141. The reversal of 211201121102121 is 121201121102112.

It is a happy number.

211201121102121 is a `hidden beast` number, since 211 + 20 + 11 + 211 + 0 + 212 + 1 = 666.

It is not a de Polignac number, because 211201121102121 - 210 = 211201121101097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211201121102094 and 211201121102103.

It is not an unprimeable number, because it can be changed into a prime (211201121102141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49757296 + ... + 53834846.

It is an arithmetic number, because the mean of its divisors is an integer number (5313865766400).

Almost surely, 2211201121102121 is an apocalyptic number.

It is an amenable number.

211201121102121 is a deficient number, since it is larger than the sum of its proper divisors (128886287947479).

211201121102121 is a wasteful number, since it uses less digits than its factorization.

211201121102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080867 (or 4080861 counting only the distinct ones).

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

Adding to 211201121102121 its reverse (121201121102112), we get a palindrome (332402242204233).

Subtracting from 211201121102121 its reverse (121201121102112), we obtain a palindrome (90000000000009).

The spelling of 211201121102121 in words is "two hundred eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 3257 5301 9771 15903 29313 61883 87939 100967 185649 302901 556947 908703 1670841 1918373 2726109 4077551 5755119 12232653 17265357 36697959 51796071 77473469 110093877 126404081 232420407 379212243 697261221 1137636729 2091783663 2401677539 3412910187 7205032617 13280583607 21615097851 39841750821 64845293553 119525252463 252331088533 358575757389 411698091817 756993265599 1235094275451 2270979796797 3705282826353 6812939390391 7822263744523 11115848479059 23466791233569 70400373700707 211201121102121