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122102102020153 is a prime number
BaseRepresentation
bin11011110000110100011100…
…011010101101000000111001
3121000022211212102120220201111
4123300310130122231000321
5112001010101104121103
61111404533054320321
734501404625430323
oct3360643432550071
9530284772526644
10122102102020153
11359a6235438a32
1211840256ab90a1
135319242b17c88
142221ab7bd4613
15e1b25118386d
hex6f0d1c6ad039

122102102020153 has 2 divisors, whose sum is σ = 122102102020154. Its totient is φ = 122102102020152.

The previous prime is 122102102020127. The next prime is 122102102020229. The reversal of 122102102020153 is 351020201201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91440488252304 + 30661613767849 = 9562452^2 + 5537293^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102102020153 - 225 = 122102068465721 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102102090153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051051010076 + 61051051010077.

It is an arithmetic number, because the mean of its divisors is an integer number (61051051010077).

Almost surely, 2122102102020153 is an apocalyptic number.

It is an amenable number.

122102102020153 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102102020153 is an equidigital number, since it uses as much as digits as its factorization.

122102102020153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 122102102020153 its reverse (351020201201221), we get a palindrome (473122303221374).

The spelling of 122102102020153 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, twenty thousand, one hundred fifty-three".