Search a number
-
+
122122001101 is a prime number
BaseRepresentation
bin111000110111100001…
…0011101101011001101
3102200012220002102202211
41301233002131223031
54000101213013401
6132034014150421
711552203611352
oct1615702355315
9380186072684
10122122001101
114787875aa41
121b8024b2411
13b692a09419
145ca70bc629
15329b416951
hex1c6f09dacd

122122001101 has 2 divisors, whose sum is σ = 122122001102. Its totient is φ = 122122001100.

The previous prime is 122122001069. The next prime is 122122001107. The reversal of 122122001101 is 101100221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61360244100 + 60761757001 = 247710^2 + 246499^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122001101 - 25 = 122122001069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061000550 + 61061000551.

It is an arithmetic number, because the mean of its divisors is an integer number (61061000551).

Almost surely, 2122122001101 is an apocalyptic number.

It is an amenable number.

122122001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122001101 is an equidigital number, since it uses as much as digits as its factorization.

122122001101 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 122122001101 its reverse (101100221221), we get a palindrome (223222222322).

The spelling of 122122001101 in words is "one hundred twenty-two billion, one hundred twenty-two million, one thousand, one hundred one".