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121221202021101 = 327133710139606967
BaseRepresentation
bin11011100100000000000010…
…101011111000101011101101
3120220012122002222211102010200
4123210000002223320223231
5111342042010204133401
61105452130150224113
734350641251120620
oct3344000253705355
9526178088742120
10121221202021101
1135696694346596
1211719593355039
1352841584406a0
1421d11cd377db7
15e03395896686
hex6e4002af8aed

121221202021101 has 96 divisors (see below), whose sum is σ = 223520181201408. Its totient is φ = 61596753523200.

The previous prime is 121221202021097. The next prime is 121221202021109. The reversal of 121221202021101 is 101120202122121.

121221202021101 is a `hidden beast` number, since 121 + 221 + 20 + 202 + 1 + 101 = 666.

It is not a de Polignac number, because 121221202021101 - 22 = 121221202021097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221202021109) 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, 16742881 + ... + 22864086.

It is an arithmetic number, because the mean of its divisors is an integer number (2328335220848).

Almost surely, 2121221202021101 is an apocalyptic number.

It is an amenable number.

121221202021101 is a deficient number, since it is larger than the sum of its proper divisors (102298979180307).

121221202021101 is a wasteful number, since it uses less digits than its factorization.

121221202021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39607131 (or 39607128 counting only the distinct ones).

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

Adding to 121221202021101 its reverse (101120202122121), we get a palindrome (222341404143222).

It can be divided in two parts, 12122120 and 2021101, that added together give a triangular number (14143221 = T5318).

The spelling of 121221202021101 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, twenty-one thousand, one hundred one".

Divisors: 1 3 7 9 13 21 37 39 63 91 101 111 117 259 273 303 333 481 707 777 819 909 1313 1443 2121 2331 3367 3737 3939 4329 6363 9191 10101 11211 11817 26159 27573 30303 33633 48581 78477 82719 145743 235431 340067 437229 1020201 3060603 39606967 118820901 277248769 356462703 514890571 831746307 1465457779 1544671713 2495238921 3604233997 4000303667 4396373337 4634015139 10258204453 10812701991 12000911001 13189120011 19050951127 28002125669 30774613359 32438105973 36002733003 52003947671 57152853381 84006377007 92323840077 133356657889 148011235679 156011843013 171458560143 252019131021 364027633697 400069973667 444033707037 468035529039 1036078649753 1092082901091 1200209921001 1332101121111 1924146063827 3108235949259 3276248703273 5772438191481 9324707847777 13469022446789 17317314574443 40407067340367 121221202021101