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122000100097 is a prime number
BaseRepresentation
bin111000110011111000…
…1011100101100000001
3102122220101201020000211
41301213301130230001
53444324011200342
6132013541314121
711546163512011
oct1614761345401
9378811636024
10122000100097
114781596aa07
121b789705941
13b673698155
145c94c29c41
153290887c17
hex1c67c5cb01

122000100097 has 2 divisors, whose sum is σ = 122000100098. Its totient is φ = 122000100096.

The previous prime is 122000100091. The next prime is 122000100121. The reversal of 122000100097 is 790001000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109566958081 + 12433142016 = 331009^2 + 111504^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000100097 - 231 = 119852616449 is a prime.

It is a super-3 number, since 3×1220001000973 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122000100091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000050048 + 61000050049.

It is an arithmetic number, because the mean of its divisors is an integer number (61000050049).

Almost surely, 2122000100097 is an apocalyptic number.

It is an amenable number.

122000100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000100097 is an equidigital number, since it uses as much as digits as its factorization.

122000100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 122000100097 in words is "one hundred twenty-two billion, one hundred thousand, ninety-seven".