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10201222110029 is a prime number
BaseRepresentation
bin1001010001110010100000…
…1110000101101101001101
31100010020010201010120010012
42110130220032011231031
52314114100330010104
633410213213123005
72102004536144306
oct224345016055515
940106121116105
1010201222110029
11328334aa32605
121189094789465
1358cc81710812
14273a556577ad
1512a55581dd6e
hex94728385b4d

10201222110029 has 2 divisors, whose sum is σ = 10201222110030. Its totient is φ = 10201222110028.

The previous prime is 10201222110011. The next prime is 10201222110031. The reversal of 10201222110029 is 92001122210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6547447204804 + 3653774905225 = 2558798^2 + 1911485^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201222110029 - 232 = 10196927142733 is a prime.

Together with 10201222110031, 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 = 10201222109986 and 10201222110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201222110529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100611055014 + 5100611055015.

It is an arithmetic number, because the mean of its divisors is an integer number (5100611055015).

Almost surely, 210201222110029 is an apocalyptic number.

It is an amenable number.

10201222110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201222110029 is an equidigital number, since it uses as much as digits as its factorization.

10201222110029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10201222110029 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred ten thousand, twenty-nine".