Search a number
-
+
122101221021097 is a prime number
BaseRepresentation
bin11011110000110011100111…
…111001111101010110101001
3121000022202121000211112012211
4123300303213321331112221
5112001001300040133342
61111404305423405121
734501344040160053
oct3360634771752651
9530282530745184
10122101221021097
11359a592310433a
121184004ba537a1
135319132445066
142221a32bc28d3
15e1b1edb5bc17
hex6f0ce7e7d5a9

122101221021097 has 2 divisors, whose sum is σ = 122101221021098. Its totient is φ = 122101221021096.

The previous prime is 122101221021077. The next prime is 122101221021119. The reversal of 122101221021097 is 790120122101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85788737852841 + 36312483168256 = 9262221^2 + 6025984^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101221021097 - 211 = 122101221019049 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101221021077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050610510548 + 61050610510549.

It is an arithmetic number, because the mean of its divisors is an integer number (61050610510549).

Almost surely, 2122101221021097 is an apocalyptic number.

It is an amenable number.

122101221021097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101221021097 is an equidigital number, since it uses as much as digits as its factorization.

122101221021097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 122101221021097 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand, ninety-seven".