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2202100222001 is a prime number
BaseRepresentation
bin100000000010110111011…
…001101100100000110001
321210112000011001212102112
4200002313121230200301
5242034400124101001
64403344134055105
7315045045022211
oct40026731544061
97715004055375
102202100222001
117799a6191949
122b6946aaa495
1312c870a1b454
1478821878241
153c435a0ecbb
hex200b766c831

2202100222001 has 2 divisors, whose sum is σ = 2202100222002. Its totient is φ = 2202100222000.

The previous prime is 2202100221943. The next prime is 2202100222073. The reversal of 2202100222001 is 1002220012022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1305671875600 + 896428346401 = 1142660^2 + 946799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202100222001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202100222801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101050111000 + 1101050111001.

It is an arithmetic number, because the mean of its divisors is an integer number (1101050111001).

Almost surely, 22202100222001 is an apocalyptic number.

It is an amenable number.

2202100222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202100222001 is an equidigital number, since it uses as much as digits as its factorization.

2202100222001 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 14.

Adding to 2202100222001 its reverse (1002220012022), we get a palindrome (3204320234023).

The spelling of 2202100222001 in words is "two trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, one".