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121211129101 is a prime number
BaseRepresentation
bin111000011100010111…
…1110000110100001101
3102120212102010100021211
41300320233300310031
53441220022112401
6131403355054421
711520503412016
oct1607057606415
9376772110254
10121211129101
1147450582367
121b5a9441411
13b5790a72ca
145c1c13200d
15324648d951
hex1c38bf0d0d

121211129101 has 2 divisors, whose sum is σ = 121211129102. Its totient is φ = 121211129100.

The previous prime is 121211129077. The next prime is 121211129107. The reversal of 121211129101 is 101921112121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105316475625 + 15894653476 = 324525^2 + 126074^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211129101 - 231 = 119063645453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121211129107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605564550 + 60605564551.

It is an arithmetic number, because the mean of its divisors is an integer number (60605564551).

Almost surely, 2121211129101 is an apocalyptic number.

It is an amenable number.

121211129101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211129101 is an equidigital number, since it uses as much as digits as its factorization.

121211129101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 121211129101 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred twenty-nine thousand, one hundred one".