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122100110221181 is a prime number
BaseRepresentation
bin11011110000110010100101…
…101100100101111101111101
3121000022122201121200001012012
4123300302211230211331331
5112000442011204034211
61111404003303221005
734501304361423251
oct3360624554457575
9530278647601165
10122100110221181
11359a5403092984
121183b99ba47765
135318cb62826c1
142221969472261
15e1b186390d8b
hex6f0ca5b25f7d

122100110221181 has 2 divisors, whose sum is σ = 122100110221182. Its totient is φ = 122100110221180.

The previous prime is 122100110221163. The next prime is 122100110221217. The reversal of 122100110221181 is 181122011001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85371298436281 + 36728811784900 = 9239659^2 + 6060430^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100110221181 - 238 = 121825232314237 is a prime.

It is a super-2 number, since 2×1221001102211812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100110221681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050055110590 + 61050055110591.

It is an arithmetic number, because the mean of its divisors is an integer number (61050055110591).

Almost surely, 2122100110221181 is an apocalyptic number.

It is an amenable number.

122100110221181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100110221181 is an equidigital number, since it uses as much as digits as its factorization.

122100110221181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 23.

The spelling of 122100110221181 in words is "one hundred twenty-two trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand, one hundred eighty-one".