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210101111121113 is a prime number
BaseRepresentation
bin101111110001010111111010…
…000110000110010011011001
31000112220110200200021110021022
4233301113322012012103121
5210014244033421333423
62022503041252452225
762153206252222562
oct5761277206062331
91015813620243238
10210101111121113
1160a434209a3183
121b69300501a075
1390305b019c744
1439c4d3b5a9169
15194532aa4cdc8
hexbf15fa1864d9

210101111121113 has 2 divisors, whose sum is σ = 210101111121114. Its totient is φ = 210101111121112.

The previous prime is 210101111121091. The next prime is 210101111121217. The reversal of 210101111121113 is 311121111101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133175108183104 + 76926002938009 = 11540152^2 + 8770747^2 .

It is a cyclic number.

It is not a de Polignac number, because 210101111121113 - 212 = 210101111117017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210101111121091 and 210101111121100.

It is not a weakly prime, because it can be changed into another prime (210101111121413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050555560556 + 105050555560557.

It is an arithmetic number, because the mean of its divisors is an integer number (105050555560557).

Almost surely, 2210101111121113 is an apocalyptic number.

It is an amenable number.

210101111121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101111121113 is an equidigital number, since it uses as much as digits as its factorization.

210101111121113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 17.

Adding to 210101111121113 its reverse (311121111101012), we get a palindrome (521222222222125).

The spelling of 210101111121113 in words is "two hundred ten trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".