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10011222229121 is a prime number
BaseRepresentation
bin1001000110101110101101…
…0110000100000010000001
31022110001201021211120002222
42101223223112010002001
52303010440342312441
633143031512220425
72052200263616411
oct221535326040201
938401637746088
1010011222229121
11320a80aa57943
1211582aa09a715
13578092121099
1426878d72a641
1512563527cd4b
hex91aeb584081

10011222229121 has 2 divisors, whose sum is σ = 10011222229122. Its totient is φ = 10011222229120.

The previous prime is 10011222229091. The next prime is 10011222229247. The reversal of 10011222229121 is 12192222211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9499802730625 + 511419498496 = 3082175^2 + 715136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011222229121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011222219121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005611114560 + 5005611114561.

It is an arithmetic number, because the mean of its divisors is an integer number (5005611114561).

Almost surely, 210011222229121 is an apocalyptic number.

It is an amenable number.

10011222229121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011222229121 is an equidigital number, since it uses as much as digits as its factorization.

10011222229121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10011222229121 in words is "ten trillion, eleven billion, two hundred twenty-two million, two hundred twenty-nine thousand, one hundred twenty-one".