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1002222101 is a prime number
BaseRepresentation
bin111011101111001…
…011001000010101
32120211212011021002
4323233023020111
54023032101401
6243241033045
733556514216
oct7357131025
92524764232
101002222101
11474801331
1223b785785
1312c83773a
149716940d
155cebea6b
hex3bbcb215

1002222101 has 2 divisors, whose sum is σ = 1002222102. Its totient is φ = 1002222100.

The previous prime is 1002222073. The next prime is 1002222121. The reversal of 1002222101 is 1012222001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 565203076 + 437019025 = 23774^2 + 20905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002222101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002222121) 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, 501111050 + 501111051.

It is an arithmetic number, because the mean of its divisors is an integer number (501111051).

Almost surely, 21002222101 is an apocalyptic number.

It is an amenable number.

1002222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002222101 is an equidigital number, since it uses as much as digits as its factorization.

1002222101 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.

The square root of 1002222101 is about 31657.8916069911. The cubic root of 1002222101 is about 1000.7401523726.

Adding to 1002222101 its reverse (1012222001), we get a palindrome (2014444102).

It can be divided in two parts, 10022 and 22101, that added together give a palindrome (32123).

The spelling of 1002222101 in words is "one billion, two million, two hundred twenty-two thousand, one hundred one".