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212201022021101 is a prime number
BaseRepresentation
bin110000001111111011100110…
…100010011101110111101101
31000211100012221002002220020122
4300033323212202131313231
5210303200143114133401
62031151445335054325
762461006100322431
oct6017734642356755
91024305832086218
10212201022021101
1161682a47952993
121b971b90b113a5
139153616948139
143a588273249c1
15197ec8001521b
hexc0fee689dded

212201022021101 has 2 divisors, whose sum is σ = 212201022021102. Its totient is φ = 212201022021100.

The previous prime is 212201022021049. The next prime is 212201022021113. The reversal of 212201022021101 is 101120220102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185102854773001 + 27098167248100 = 13605251^2 + 5205590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212201022021101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212201022021101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212201022021181) 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, 106100511010550 + 106100511010551.

It is an arithmetic number, because the mean of its divisors is an integer number (106100511010551).

Almost surely, 2212201022021101 is an apocalyptic number.

It is an amenable number.

212201022021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201022021101 is an equidigital number, since it uses as much as digits as its factorization.

212201022021101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212201022021101 its reverse (101120220102212), we get a palindrome (313321242123313).

The spelling of 212201022021101 in words is "two hundred twelve trillion, two hundred one billion, twenty-two million, twenty-one thousand, one hundred one".