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122101100141 is a prime number
BaseRepresentation
bin111000110110111001…
…0101110111001101101
3102200011102202120001012
41301231302232321231
54000030340201031
6132031550155005
711551531140536
oct1615562567155
9380142676035
10122101100141
1147867984819
121b7b74b2a65
13b68b59bba7
145ca43db68d
153299688b2b
hex1c6dcaee6d

122101100141 has 2 divisors, whose sum is σ = 122101100142. Its totient is φ = 122101100140.

The previous prime is 122101100137. The next prime is 122101100257. The reversal of 122101100141 is 141001101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70984412041 + 51116688100 = 266429^2 + 226090^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101100141 - 22 = 122101100137 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050550070 + 61050550071.

It is an arithmetic number, because the mean of its divisors is an integer number (61050550071).

Almost surely, 2122101100141 is an apocalyptic number.

It is an amenable number.

122101100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101100141 is an equidigital number, since it uses as much as digits as its factorization.

122101100141 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 14.

Adding to 122101100141 its reverse (141001101221), we get a palindrome (263102201362).

The spelling of 122101100141 in words is "one hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred forty-one".