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20120202221101 is a prime number
BaseRepresentation
bin1001001001100100110011…
…00000011001011000101101
32122020110202111011000100121
410210302121200121120231
510114122133232033401
6110443032052524541
74144431240032113
oct444623140313055
978213674130317
1020120202221101
116457a25691934
12230b51b020751
13b2c433352358
144d7b743a3ab3
1524d58c983ca1
hex124c9981962d

20120202221101 has 2 divisors, whose sum is σ = 20120202221102. Its totient is φ = 20120202221100.

The previous prime is 20120202221089. The next prime is 20120202221219. The reversal of 20120202221101 is 10112220202102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16554921863076 + 3565280358025 = 4068774^2 + 1888195^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120202221101 - 211 = 20120202219053 is a prime.

It is a super-3 number, since 3×201202022211013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20120202221401) 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, 10060101110550 + 10060101110551.

It is an arithmetic number, because the mean of its divisors is an integer number (10060101110551).

Almost surely, 220120202221101 is an apocalyptic number.

It is an amenable number.

20120202221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20120202221101 is an equidigital number, since it uses as much as digits as its factorization.

20120202221101 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 16.

Adding to 20120202221101 its reverse (10112220202102), we get a palindrome (30232422423203).

The spelling of 20120202221101 in words is "twenty trillion, one hundred twenty billion, two hundred two million, two hundred twenty-one thousand, one hundred one".