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122211000101 is a prime number
BaseRepresentation
bin111000111010001010…
…1111101111100100101
3102200110002120001110002
41301310111331330211
54000242004000401
6132050513511045
711554334234561
oct1616425757445
9380402501402
10122211000101
1147913a18233
121b828272485
13b6a829a858
145cb4c486a1
1532a4146a6b
hex1c7457df25

122211000101 has 2 divisors, whose sum is σ = 122211000102. Its totient is φ = 122211000100.

The previous prime is 122211000091. The next prime is 122211000139. The reversal of 122211000101 is 101000112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111039567076 + 11171433025 = 333226^2 + 105695^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211000101 - 214 = 122210983717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122211000601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105500050 + 61105500051.

It is an arithmetic number, because the mean of its divisors is an integer number (61105500051).

Almost surely, 2122211000101 is an apocalyptic number.

It is an amenable number.

122211000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211000101 is an equidigital number, since it uses as much as digits as its factorization.

122211000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122211000101 its reverse (101000112221), we get a palindrome (223211112322).

The spelling of 122211000101 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred one", and thus it is an aban number.