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212122012101102 = 23241228124948199
BaseRepresentation
bin110000001110110010000001…
…001011100010100111101110
31000211001122222202000002200100
4300032302001023202213232
5210300401340044213402
62031051301310211530
762452211130144435
oct6016620113424756
91024048882002610
10212122012101102
1161652492904644
121b95a8007b3ba6
13914903498919c
143a54a8dc7411c
15197cba891871c
hexc0ec812e29ee

212122012101102 has 72 divisors (see below), whose sum is σ = 472757263102800. Its totient is φ = 68737275129600.

The previous prime is 212122012101079. The next prime is 212122012101113. The reversal of 212122012101102 is 201101210221212.

212122012101102 is a `hidden beast` number, since 2 + 121 + 220 + 1 + 210 + 110 + 2 = 666.

It is a super-2 number, since 2×2121220121011022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3971602 + ... + 20976597.

It is an arithmetic number, because the mean of its divisors is an integer number (6566073098650).

Almost surely, 2212122012101102 is an apocalyptic number.

212122012101102 is an abundant number, since it is smaller than the sum of its proper divisors (260635251001698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212122012101102 is a wasteful number, since it uses less digits than its factorization.

212122012101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24948570 (or 24948526 counting only the distinct ones).

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

Adding to 212122012101102 its reverse (201101210221212), we get a palindrome (413223222322314).

The spelling of 212122012101102 in words is "two hundred twelve trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 281 369 562 738 843 1681 1686 2529 3362 5043 5058 10086 11521 15129 23042 30258 34563 69126 103689 207378 472361 944722 1417083 2834166 4251249 8502498 24948199 49896398 74844597 149689194 224533791 449067582 1022876159 2045752318 3068628477 6137256954 7010443919 9205885431 14020887838 18411770862 21031331757 41937922519 42062663514 63093995271 83875845038 125813767557 126187990542 251627535114 287428200679 377441302671 574856401358 754882605342 862284602037 1724569204074 2586853806111 5173707612222 11784556227839 23569112455678 35353668683517 70707337367034 106061006050551 212122012101102