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122101121 is a prime number
BaseRepresentation
bin1110100011100…
…01110110000001
322111202101020202
413101301312001
5222224213441
620041014545
73011561642
oct721616601
9274671222
10122101121
1162a1741a
1234a84455
131c3b13ac
14123056c9
15aabd19b
hex7471d81

122101121 has 2 divisors, whose sum is σ = 122101122. Its totient is φ = 122101120.

The previous prime is 122101117. The next prime is 122101129. The reversal of 122101121 is 121101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80640400 + 41460721 = 8980^2 + 6439^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101121 - 22 = 122101117 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050560 + 61050561.

It is an arithmetic number, because the mean of its divisors is an integer number (61050561).

Almost surely, 2122101121 is an apocalyptic number.

It is an amenable number.

122101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101121 is an equidigital number, since it uses as much as digits as its factorization.

122101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 122101121 is about 11049.9376016338. The cubic root of 122101121 is about 496.1045578763.

Adding to 122101121 its reverse (121101221), we get a palindrome (243202342).

It can be divided in two parts, 12210 and 1121, that added together give a palindrome (13331).

The spelling of 122101121 in words is "one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".