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101021122193 is a prime number
BaseRepresentation
bin101111000010101010…
…0111111111010010001
3100122202100001201120012
41132011110333322101
53123342401402233
6114224121124305
710204253241065
oct1360524777221
9318670051505
10101021122193
113992a876342
12176b3929695
1396ac233a64
144c64909aa5
152963bde548
hex178553fe91

101021122193 has 2 divisors, whose sum is σ = 101021122194. Its totient is φ = 101021122192.

The previous prime is 101021122183. The next prime is 101021122229. The reversal of 101021122193 is 391221120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89118966784 + 11902155409 = 298528^2 + 109097^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021122193 - 26 = 101021122129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101021122183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510561096 + 50510561097.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561097).

Almost surely, 2101021122193 is an apocalyptic number.

It is an amenable number.

101021122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122193 is an equidigital number, since it uses as much as digits as its factorization.

101021122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101021122193 its reverse (391221120101), we get a palindrome (492242242294).

The spelling of 101021122193 in words is "one hundred one billion, twenty-one million, one hundred twenty-two thousand, one hundred ninety-three".