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1012221202229 is a prime number
BaseRepresentation
bin11101011101011010001…
…01011100111100110101
310120202201102202211020122
432232231011130330311
5113041012111432404
62053001421141325
7133062533154146
oct16565505347465
93522642684218
101012221202229
1136030a531026
121442129ba845
13745b51cc053
1436dc55a5acd
151b4e462d3be
hexebad15cf35

1012221202229 has 2 divisors, whose sum is σ = 1012221202230. Its totient is φ = 1012221202228.

The previous prime is 1012221202177. The next prime is 1012221202231. The reversal of 1012221202229 is 9222021222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 978061660900 + 34159541329 = 988970^2 + 184823^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012221202229 - 28 = 1012221201973 is a prime.

It is a super-2 number, since 2×10122212022292 (a number of 25 digits) contains 22 as substring.

Together with 1012221202231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012221202198 and 1012221202207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012221202829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506110601114 + 506110601115.

It is an arithmetic number, because the mean of its divisors is an integer number (506110601115).

Almost surely, 21012221202229 is an apocalyptic number.

It is an amenable number.

1012221202229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012221202229 is an equidigital number, since it uses as much as digits as its factorization.

1012221202229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 1012221202229 in words is "one trillion, twelve billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-nine".