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122001212202101 is a prime number
BaseRepresentation
bin11011101111010110011110…
…111010100101110001110101
3120222222012110020121010120122
4123233112132322211301311
5111442331440310431401
61111250325543341325
734461203525221151
oct3357263672456165
9528865406533518
10122001212202101
11359674727a5411
121182479b151845
13530c884b6849b
14221ac66908061
15e187e8c7e21b
hex6ef59eea5c75

122001212202101 has 2 divisors, whose sum is σ = 122001212202102. Its totient is φ = 122001212202100.

The previous prime is 122001212202073. The next prime is 122001212202127. The reversal of 122001212202101 is 101202212100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100406612496100 + 21594599706001 = 10020310^2 + 4646999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122001212202101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122001212202101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122001212202151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000606101050 + 61000606101051.

It is an arithmetic number, because the mean of its divisors is an integer number (61000606101051).

Almost surely, 2122001212202101 is an apocalyptic number.

It is an amenable number.

122001212202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122001212202101 is an equidigital number, since it uses as much as digits as its factorization.

122001212202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122001212202101 its reverse (101202212100221), we get a palindrome (223203424302322).

The spelling of 122001212202101 in words is "one hundred twenty-two trillion, one billion, two hundred twelve million, two hundred two thousand, one hundred one".