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121021112201 = 11217232111217
BaseRepresentation
bin111000010110101101…
…0111001111110001001
3102120101011120111002212
41300231122321332021
53440322401042301
6131332450234505
711513005323623
oct1605532717611
9376334514085
10121021112201
1147363298900
121b555885a35
13b548906c82
145c00bcbc13
1532349574bb
hex1c2d6b9f89

121021112201 has 36 divisors (see below), whose sum is σ = 147239508276. Its totient is φ = 99044520960.

The previous prime is 121021112189. The next prime is 121021112203. The reversal of 121021112201 is 102211120121.

It can be written as a sum of positive squares in 2 ways, for example, as 94803025801 + 26218086400 = 307901^2 + 161920^2 .

It is not a de Polignac number, because 121021112201 - 222 = 121016917897 is a prime.

It is a super-2 number, since 2×1210211122012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121021112203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1032545 + ... + 1143761.

It is an arithmetic number, because the mean of its divisors is an integer number (4089986341).

Almost surely, 2121021112201 is an apocalyptic number.

121021112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121021112201 is a deficient number, since it is larger than the sum of its proper divisors (26218396075).

121021112201 is a wasteful number, since it uses less digits than its factorization.

121021112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111302 (or 111268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121021112201 its reverse (102211120121), we get a palindrome (223232232322).

The spelling of 121021112201 in words is "one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, two hundred one".

Divisors: 1 11 17 23 121 187 253 391 529 2057 2783 4301 5819 8993 47311 64009 98923 111217 1088153 1223387 1890689 2557991 13457257 20797579 28137901 43485847 58833793 228773369 309516911 478344317 647171723 1000174481 5261787487 7118888953 11001919291 121021112201