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211221130329101 is a prime number
BaseRepresentation
bin110000000001101011000000…
…011100010011110000001101
31000200212112122202000100122202
4300001223000130103300031
5210141121333331012401
62025121351523251245
762330136341344154
oct6001530034236015
91020775582010582
10211221130329101
1161335418602462
121b8340a1219b25
1390b20b46193c9
143a2322b71859b
15196452dcb106b
hexc01ac0713c0d

211221130329101 has 2 divisors, whose sum is σ = 211221130329102. Its totient is φ = 211221130329100.

The previous prime is 211221130329031. The next prime is 211221130329197. The reversal of 211221130329101 is 101923031122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163423624875625 + 47797505453476 = 12783725^2 + 6913574^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211221130329101 is a prime.

It is a super-2 number, since 2×2112211303291012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221130329401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610565164550 + 105610565164551.

It is an arithmetic number, because the mean of its divisors is an integer number (105610565164551).

Almost surely, 2211221130329101 is an apocalyptic number.

It is an amenable number.

211221130329101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221130329101 is an equidigital number, since it uses as much as digits as its factorization.

211221130329101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 211221130329101 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred thirty million, three hundred twenty-nine thousand, one hundred one".