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2222120000101 is a prime number
BaseRepresentation
bin100000010101100000101…
…011000101101001100101
321212102200100210222010111
4200111200223011221211
5242401400210000401
64420454451253021
7316354130232211
oct40254053055145
97772610728114
102222120000101
1178743989a501
122ba7b35aa171
1313171152c4b1
14797a062b941
153cc08385e51
hex20560ac5a65

2222120000101 has 2 divisors, whose sum is σ = 2222120000102. Its totient is φ = 2222120000100.

The previous prime is 2222120000083. The next prime is 2222120000147. The reversal of 2222120000101 is 1010000212222.

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., 1986337890625 + 235782109476 = 1409375^2 + 485574^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222120000101 - 25 = 2222120000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222120000701) 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, 1111060000050 + 1111060000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1111060000051).

Almost surely, 22222120000101 is an apocalyptic number.

It is an amenable number.

2222120000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222120000101 is an equidigital number, since it uses as much as digits as its factorization.

2222120000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2222120000101 its reverse (1010000212222), we get a palindrome (3232120212323).

The spelling of 2222120000101 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred one", and thus it is an aban number.