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122211101112097 is a prime number
BaseRepresentation
bin11011110010011001111101…
…010001001111011100100001
3121000201021012202121111100211
4123302121331101033130201
5112004301313341041342
61111531001011214121
734512314004425434
oct3362317521173441
9530637182544324
10122211101112097
1135a384895a4aa8
12118593b65a7341
1353265c3b4a59a
1422270980b181b
15e1ded046ac17
hex6f267d44f721

122211101112097 has 2 divisors, whose sum is σ = 122211101112098. Its totient is φ = 122211101112096.

The previous prime is 122211101112077. The next prime is 122211101112263. The reversal of 122211101112097 is 790211101112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121069331928801 + 1141769183296 = 11003151^2 + 1068536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122211101112097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122211101112007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105550556048 + 61105550556049.

It is an arithmetic number, because the mean of its divisors is an integer number (61105550556049).

Almost surely, 2122211101112097 is an apocalyptic number.

It is an amenable number.

122211101112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211101112097 is an equidigital number, since it uses as much as digits as its factorization.

122211101112097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 31.

The spelling of 122211101112097 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, ninety-seven".