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101032222230101 is a prime number
BaseRepresentation
bin10110111110001101100101…
…101101111000011001010101
3111020201120211021112211202102
4112332031211231320121111
5101220302442342330401
6554513321231251445
730165223436264141
oct2676154555703125
9436646737484672
10101032222230101
112a2125855a94a8
12b3b887a979b85
13444b3b3cbc716
141ad3db288a221
15ba312ecbd56b
hex5be365b78655

101032222230101 has 2 divisors, whose sum is σ = 101032222230102. Its totient is φ = 101032222230100.

The previous prime is 101032222230097. The next prime is 101032222230109.

101032222230101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66150145959076 + 34882076271025 = 8133274^2 + 5906105^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101032222230101 - 22 = 101032222230097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101032222230109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516111115050 + 50516111115051.

It is an arithmetic number, because the mean of its divisors is an integer number (50516111115051).

Almost surely, 2101032222230101 is an apocalyptic number.

It is an amenable number.

101032222230101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032222230101 is an equidigital number, since it uses as much as digits as its factorization.

101032222230101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 101032222230101 in words is "one hundred one trillion, thirty-two billion, two hundred twenty-two million, two hundred thirty thousand, one hundred one".