Search a number
-
+
122010200201101 is a prime number
BaseRepresentation
bin11011101111011110110110…
…101001000101011110001101
3121000000001122122002210022111
4123233132312221011132031
5111443003342222413401
61111254413455344021
734461642334026652
oct3357366651053615
9530001578083274
10122010200201101
113597026523a063
1211826489222011
135310687ca61a4
14221b47a4b7c29
15e18b72d89e51
hex6ef7b6a4578d

122010200201101 has 2 divisors, whose sum is σ = 122010200201102. Its totient is φ = 122010200201100.

The previous prime is 122010200201077. The next prime is 122010200201137. The reversal of 122010200201101 is 101102002010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120668599225476 + 1341600975625 = 10984926^2 + 1158275^2 .

It is a cyclic number.

It is not a de Polignac number, because 122010200201101 - 233 = 122001610266509 is a prime.

It is a super-2 number, since 2×1220102002011012 (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 (122010200901101) 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, 61005100100550 + 61005100100551.

It is an arithmetic number, because the mean of its divisors is an integer number (61005100100551).

Almost surely, 2122010200201101 is an apocalyptic number.

It is an amenable number.

122010200201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010200201101 is an equidigital number, since it uses as much as digits as its factorization.

122010200201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122010200201101 its reverse (101102002010221), we get a palindrome (223112202211322).

The spelling of 122010200201101 in words is "one hundred twenty-two trillion, ten billion, two hundred million, two hundred one thousand, one hundred one".