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22200120101 is a prime number
BaseRepresentation
bin10100101011001110…
…101111001100100101
32010022011102221122102
4110223032233030211
5330431212320401
614110521341445
71414065623135
oct245316571445
963264387572
1022200120101
1194624308a5
124376937885
13212a44bb53
141108594ac5
1589dead56b
hex52b3af325

22200120101 has 2 divisors, whose sum is σ = 22200120102. Its totient is φ = 22200120100.

The previous prime is 22200120083. The next prime is 22200120133. The reversal of 22200120101 is 10102100222.

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., 19024684900 + 3175435201 = 137930^2 + 56351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22200120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22200120181) 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, 11100060050 + 11100060051.

It is an arithmetic number, because the mean of its divisors is an integer number (11100060051).

Almost surely, 222200120101 is an apocalyptic number.

It is an amenable number.

22200120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200120101 is an equidigital number, since it uses as much as digits as its factorization.

22200120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22200120101 its reverse (10102100222), we get a palindrome (32302220323).

The spelling of 22200120101 in words is "twenty-two billion, two hundred million, one hundred twenty thousand, one hundred one".