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101022211097 is a prime number
BaseRepresentation
bin101111000010101100…
…1001001110000011001
3100122202102010001020222
41132011121021300121
53123343141223342
6114224200325425
710204265424533
oct1360531116031
9318672101228
10101022211097
113993044a465
12176b4173875
1396ac525592
144c64b10853
152963d56ed2
hex1785649c19

101022211097 has 2 divisors, whose sum is σ = 101022211098. Its totient is φ = 101022211096.

The previous prime is 101022211079. The next prime is 101022211123. The reversal of 101022211097 is 790112220101.

Together with previous prime (101022211079) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (101022211123) can be obtained adding 101022211097 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76764460096 + 24257751001 = 277064^2 + 155749^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022211097 - 26 = 101022211033 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022211597) 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, 50511105548 + 50511105549.

It is an arithmetic number, because the mean of its divisors is an integer number (50511105549).

Almost surely, 2101022211097 is an apocalyptic number.

It is an amenable number.

101022211097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022211097 is an equidigital number, since it uses as much as digits as its factorization.

101022211097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 101022211097 its reverse (790112220101), we get a palindrome (891134431198).

The spelling of 101022211097 in words is "one hundred one billion, twenty-two million, two hundred eleven thousand, ninety-seven".