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122100110219 is a prime number
BaseRepresentation
bin111000110110110111…
…0111101001110001011
3102200011100220021010102
41301231232331032023
54000030112011334
6132031513040015
711551516545503
oct1615556751613
9380140807112
10122100110219
1147867368aaa
121b7b70b600b
13b68b313439
145ca4220a03
15329954067e
hex1c6dbbd38b

122100110219 has 2 divisors, whose sum is σ = 122100110220. Its totient is φ = 122100110218.

The previous prime is 122100110159. The next prime is 122100110227. The reversal of 122100110219 is 912011001221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122100110219 is a prime.

It is a super-2 number, since 2×1221001102192 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122100110219.

It is not a weakly prime, because it can be changed into another prime (122100115219) 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, 61050055109 + 61050055110.

It is an arithmetic number, because the mean of its divisors is an integer number (61050055110).

Almost surely, 2122100110219 is an apocalyptic number.

122100110219 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100110219 is an equidigital number, since it uses as much as digits as its factorization.

122100110219 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 20.

The spelling of 122100110219 in words is "one hundred twenty-two billion, one hundred million, one hundred ten thousand, two hundred nineteen".