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101202222102221 is a prime number
BaseRepresentation
bin10111000000101011111010…
…011111111011011011001101
3111021022211121212022010110102
4113000223322133323123031
5101231044122324232341
6555123354202420445
730213422256330362
oct2700537237733315
9437284555263412
10101202222102221
112a278692049589
12b425803501725
134461436c00526
141adc2dc4cc469
15ba777e5e0c9b
hex5c0afa7fb6cd

101202222102221 has 2 divisors, whose sum is σ = 101202222102222. Its totient is φ = 101202222102220.

The previous prime is 101202222102139. The next prime is 101202222102283. The reversal of 101202222102221 is 122201222202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70495939346596 + 30706282755625 = 8396186^2 + 5541325^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202222102221 - 218 = 101202221840077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101202222102193 and 101202222102202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101202222102521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601111051110 + 50601111051111.

It is an arithmetic number, because the mean of its divisors is an integer number (50601111051111).

Almost surely, 2101202222102221 is an apocalyptic number.

It is an amenable number.

101202222102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202222102221 is an equidigital number, since it uses as much as digits as its factorization.

101202222102221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101202222102221 its reverse (122201222202101), we get a palindrome (223403444304322).

The spelling of 101202222102221 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-one".