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2221322103101 is a prime number
BaseRepresentation
bin100000010100110001000…
…111010110100100111101
321212100121202102121012202
4200110301013112210331
5242343231424244401
64420243345441245
7316325301224663
oct40246107264475
97770552377182
102221322103101
1178706a4656a2
122ba610340225
131316151348aa
147972668cc33
153cbad2c706b
hex205311d693d

2221322103101 has 2 divisors, whose sum is σ = 2221322103102. Its totient is φ = 2221322103100.

The previous prime is 2221322103083. The next prime is 2221322103109. The reversal of 2221322103101 is 1013012231222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2207976077476 + 13346025625 = 1485926^2 + 115525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221322103101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221322103109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110661051550 + 1110661051551.

It is an arithmetic number, because the mean of its divisors is an integer number (1110661051551).

Almost surely, 22221322103101 is an apocalyptic number.

It is an amenable number.

2221322103101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221322103101 is an equidigital number, since it uses as much as digits as its factorization.

2221322103101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2221322103101 its reverse (1013012231222), we get a palindrome (3234334334323).

The spelling of 2221322103101 in words is "two trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred three thousand, one hundred one".