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3012221010101 is a prime number
BaseRepresentation
bin101011110101010110010…
…111010000000010110101
3101122222001212020220122212
4223311112113100002311
5343323012034310401
610223443434103205
7430424434062122
oct53652627200265
911588055226585
103012221010101
11a61526260526
1240795687ab05
1318b0886c6b24
14a5b14005749
155354c5bddbb
hex2bd565d00b5

3012221010101 has 2 divisors, whose sum is σ = 3012221010102. Its totient is φ = 3012221010100.

The previous prime is 3012221010067. The next prime is 3012221010109. The reversal of 3012221010101 is 1010101222103.

3012221010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3012217109476 + 3900625 = 1735574^2 + 1975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3012221010101 is a prime.

It is a super-4 number, since 4×30122210101014 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3012221010109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506110505050 + 1506110505051.

It is an arithmetic number, because the mean of its divisors is an integer number (1506110505051).

Almost surely, 23012221010101 is an apocalyptic number.

It is an amenable number.

3012221010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012221010101 is an equidigital number, since it uses as much as digits as its factorization.

3012221010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 3012221010101 its reverse (1010101222103), we get a palindrome (4022322232204).

The spelling of 3012221010101 in words is "three trillion, twelve billion, two hundred twenty-one million, ten thousand, one hundred one".