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122100020101 is a prime number
BaseRepresentation
bin111000110110110111…
…0100111001110000101
3102200011100201200111201
41301231232213032011
54000030101120401
6132031511102501
711551516021663
oct1615556471605
9380140650451
10122100020101
1147867307324
121b7b7071a31
13b68b2b1407
145ca41d9c33
153299523b01
hex1c6dba7385

122100020101 has 2 divisors, whose sum is σ = 122100020102. Its totient is φ = 122100020100.

The previous prime is 122100020071. The next prime is 122100020113. The reversal of 122100020101 is 101020001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105348930625 + 16751089476 = 324575^2 + 129426^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100020101 - 29 = 122100019589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100020201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050010050 + 61050010051.

It is an arithmetic number, because the mean of its divisors is an integer number (61050010051).

Almost surely, 2122100020101 is an apocalyptic number.

It is an amenable number.

122100020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100020101 is an equidigital number, since it uses as much as digits as its factorization.

122100020101 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 122100020101 its reverse (101020001221), we get a palindrome (223120021322).

The spelling of 122100020101 in words is "one hundred twenty-two billion, one hundred million, twenty thousand, one hundred one".