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121202121010201 = 711731011371558313
BaseRepresentation
bin11011100011101110010001…
…010111100110110000011001
3120220010210212012112121221021
4123203232101113212300121
5111341233420434311301
61105435252530042441
734346364355161340
oct3343562127466031
9526123765477837
10121202121010201
11356895926396a0
1211715949119421
13528240727a6aa
1421d02dd152b57
15e02b2a6588a1
hex6e3b915e6c19

121202121010201 has 64 divisors (see below), whose sum is σ = 155825017145856. Its totient is φ = 91553946624000.

The previous prime is 121202121010177. The next prime is 121202121010207. The reversal of 121202121010201 is 102010121202121.

It is not a de Polignac number, because 121202121010201 - 217 = 121202120879129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121202121010207) 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, 76998621 + ... + 78556933.

It is an arithmetic number, because the mean of its divisors is an integer number (2434765892904).

Almost surely, 2121202121010201 is an apocalyptic number.

121202121010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121202121010201 is a deficient number, since it is larger than the sum of its proper divisors (34622896135655).

121202121010201 is a wasteful number, since it uses less digits than its factorization.

121202121010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558642.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121202121010201 its reverse (102010121202121), we get a palindrome (223212242212322).

It can be divided in two parts, 1212021 and 21010201, that added together give a palindrome (22222222).

The spelling of 121202121010201 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred twenty-one million, ten thousand, two hundred one".

Divisors: 1 7 11 73 77 101 137 511 707 803 959 1111 1507 5621 7373 7777 10001 10549 13837 51611 70007 81103 96859 110011 152207 567721 770077 1010101 1065449 1558313 7070707 10908191 11111111 17141443 77777777 113756849 119990101 157389613 213488881 796297943 1101727291 1251325339 1494422167 1731285743 2348377691 8759277373 11489441749 12119000201 15584688313 16438643837 21562376981 80426092243 109092818191 126383859239 150936638867 171431571443 237186146791 884687014673 1200021000101 1574053519613 1660303027537 11018374637291 17314588715743 121202121010201