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122102221102009 is a prime number
BaseRepresentation
bin11011110000110100100011…
…100000111101101110111001
3121000022212011201122220022121
4123300310203200331232321
5112001010322100231014
61111404552550521241
734501410602545621
oct3360644340755671
9530285151586277
10122102221102009
11359a6296682995
121184028a966221
1353192616b0005
142221ac9951881
15e1b25b857124
hex6f0d2383dbb9

122102221102009 has 2 divisors, whose sum is σ = 122102221102010. Its totient is φ = 122102221102008.

The previous prime is 122102221101967. The next prime is 122102221102091. The reversal of 122102221102009 is 900201122201221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97185152212009 + 24917068890000 = 9858253^2 + 4991700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122102221102009 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102221102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051110551004 + 61051110551005.

It is an arithmetic number, because the mean of its divisors is an integer number (61051110551005).

Almost surely, 2122102221102009 is an apocalyptic number.

It is an amenable number.

122102221102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102221102009 is an equidigital number, since it uses as much as digits as its factorization.

122102221102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122102221102009 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, one hundred two thousand, nine".