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1221210112117 is a prime number
BaseRepresentation
bin10001110001010101110…
…010111000000001110101
311022202011020021102222111
4101301111302320001311
5130002014242041432
62333003254531021
7154141503452422
oct21612562700165
94282136242874
101221210112117
11430a042a9276
12178818966a71
138b20c8b76c8
144316d412d49
1521b76cdd347
hex11c55cb8075

1221210112117 has 2 divisors, whose sum is σ = 1221210112118. Its totient is φ = 1221210112116.

The previous prime is 1221210112069. The next prime is 1221210112121. The reversal of 1221210112117 is 7112110121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1159241975761 + 61968136356 = 1076681^2 + 248934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221210112117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221210112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610605056058 + 610605056059.

It is an arithmetic number, because the mean of its divisors is an integer number (610605056059).

Almost surely, 21221210112117 is an apocalyptic number.

It is an amenable number.

1221210112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221210112117 is an equidigital number, since it uses as much as digits as its factorization.

1221210112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 1221210112117 its reverse (7112110121221), we get a palindrome (8333320233338).

The spelling of 1221210112117 in words is "one trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred seventeen".