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101233120223321 is a prime number
BaseRepresentation
bin10111000001001000101100…
…001010111010000001011001
3111021102210101012120022100222
4113001020230022322001121
5101232100412234121241
6555145504200405425
730215565043121162
oct2701105412720131
9437383335508328
10101233120223321
112a28a7a8251259
12b42b7a7176875
13446431c381a18
141add9cdd24769
15ba848bec4a4b
hex5c122c2ba059

101233120223321 has 2 divisors, whose sum is σ = 101233120223322. Its totient is φ = 101233120223320.

The previous prime is 101233120223309. The next prime is 101233120223387. The reversal of 101233120223321 is 123322021332101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58379914455625 + 42853205767696 = 7640675^2 + 6546236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101233120223321 is a prime.

It is not a weakly prime, because it can be changed into another prime (101233120223021) 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, 50616560111660 + 50616560111661.

It is an arithmetic number, because the mean of its divisors is an integer number (50616560111661).

Almost surely, 2101233120223321 is an apocalyptic number.

It is an amenable number.

101233120223321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233120223321 is an equidigital number, since it uses as much as digits as its factorization.

101233120223321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101233120223321 its reverse (123322021332101), we get a palindrome (224555141555422).

The spelling of 101233120223321 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred twenty million, two hundred twenty-three thousand, three hundred twenty-one".