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122001020101 is a prime number
BaseRepresentation
bin111000110011111010…
…0111101010011000101
3102122220110102222001001
41301213310331103011
53444324230120401
6132014013133301
711546204363152
oct1614764752305
9378813388031
10122001020101
1147816439144
121b789a8a231
13b67392ab2c
145c94dc9229
1532909ba601
hex1c67d3d4c5

122001020101 has 2 divisors, whose sum is σ = 122001020102. Its totient is φ = 122001020100.

The previous prime is 122001020039. The next prime is 122001020111. The reversal of 122001020101 is 101020100221.

It is an a-pointer prime, because the next prime (122001020111) can be obtained adding 122001020101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65487369025 + 56513651076 = 255905^2 + 237726^2 .

It is an emirp because it is prime and its reverse (101020100221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122001020101 - 223 = 121992631493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122001020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000510050 + 61000510051.

It is an arithmetic number, because the mean of its divisors is an integer number (61000510051).

Almost surely, 2122001020101 is an apocalyptic number.

It is an amenable number.

122001020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122001020101 is an equidigital number, since it uses as much as digits as its factorization.

122001020101 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 10.

Adding to 122001020101 its reverse (101020100221), we get a palindrome (223021120322).

It can be divided in two parts, 12200 and 1020101, that added together give a palindrome (1032301).

The spelling of 122001020101 in words is "one hundred twenty-two billion, one million, twenty thousand, one hundred one".