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1000101097 is a prime number
BaseRepresentation
bin111011100111000…
…101010011101001
32120200212101210101
4323213011103221
54022011213342
6243123345401
733532501432
oct7347052351
92520771711
101000101097
11473592836
1223ab22261
1312c2741c8
1496b76489
155cc013b7
hex3b9c54e9

1000101097 has 2 divisors, whose sum is σ = 1000101098. Its totient is φ = 1000101096.

The previous prime is 1000101079. The next prime is 1000101107. The reversal of 1000101097 is 7901010001.

It is a happy number.

Together with previous prime (1000101079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 713103616 + 286997481 = 26704^2 + 16941^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101097 - 211 = 1000099049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000101197) 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, 500050548 + 500050549.

It is an arithmetic number, because the mean of its divisors is an integer number (500050549).

Almost surely, 21000101097 is an apocalyptic number.

It is an amenable number.

1000101097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101097 is an equidigital number, since it uses as much as digits as its factorization.

1000101097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

The square root of 1000101097 is about 31624.3750452084. The cubic root of 1000101097 is about 1000.0336978644.

Adding to 1000101097 its reverse (7901010001), we get a palindrome (8901111098).

The spelling of 1000101097 in words is "one billion, one hundred one thousand, ninety-seven".