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121022121022101 = 3213232910115354359
BaseRepresentation
bin11011100001000110101000…
…100010001001001010010101
3120212111121020200210211000100
4123201012220202021022111
5111330311300440201401
61105220443405404313
734330362656421045
oct3341065042111225
9525447220724010
10121022121022101
113561a214305452
12116a6a93569699
13526b44c63b6b0
1421c570535b725
15ded0e2e53b86
hex6e11a8889295

121022121022101 has 96 divisors (see below), whose sum is σ = 205227604108800. Its totient is φ = 68099648601600.

The previous prime is 121022121022093. The next prime is 121022121022129. The reversal of 121022121022101 is 101220121220121.

121022121022101 is a `hidden beast` number, since 1 + 2 + 10 + 221 + 210 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 121022121022101 - 23 = 121022121022093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022121022171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204760 + ... + 15559118.

It is an arithmetic number, because the mean of its divisors is an integer number (2137787542800).

Almost surely, 2121022121022101 is an apocalyptic number.

It is an amenable number.

121022121022101 is a deficient number, since it is larger than the sum of its proper divisors (84205483086699).

121022121022101 is a wasteful number, since it uses less digits than its factorization.

121022121022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354531 (or 15354528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121022121022101 its reverse (101220121220121), we get a palindrome (222242242242222).

The spelling of 121022121022101 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, twenty-two thousand, one hundred one".

Divisors: 1 3 9 13 23 29 39 69 87 101 117 207 261 299 303 377 667 897 909 1131 1313 2001 2323 2691 2929 3393 3939 6003 6969 8671 8787 11817 20907 26013 26361 30199 38077 67367 78039 90597 114231 202101 271791 342693 606303 875771 2627313 7881939 15354359 46063077 138189231 199606667 353150257 445276411 598820001 1059450771 1335829233 1550790259 1796460003 3178352313 4007487699 4590953341 4652370777 5788593343 10241357453 13772860023 13957112331 17365780029 20160273367 30724072359 35668175957 41318580069 44972917511 52097340087 60480820101 92172217077 107004527871 133137646889 134918752533 181442460303 321013583613 399412940667 404756257599 463686287441 584647927643 1034377102753 1198238822001 1391058862323 1753943782929 3103131308259 4173176586969 5261831348787 9309393924777 13446902335789 40340707007367 121022121022101