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101201310200233 is a prime number
BaseRepresentation
bin10111000000101011000100…
…001001010011000110101001
3111021022202021022101201002201
4113000223010021103012221
5101231040240402401413
6555123123505300201
730213360544311115
oct2700530411230651
9437282238351081
10101201310200233
112a278264328081
12b4255aa034661
13446131ccca659
141adc253354745
15ba77295129dd
hex5c0ac42531a9

101201310200233 has 2 divisors, whose sum is σ = 101201310200234. Its totient is φ = 101201310200232.

The previous prime is 101201310200231. The next prime is 101201310200251. The reversal of 101201310200233 is 332002013102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100964775823129 + 236534377104 = 10048123^2 + 486348^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201310200233 - 21 = 101201310200231 is a prime.

Together with 101201310200231, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101201310200233.

It is not a weakly prime, because it can be changed into another prime (101201310200231) 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, 50600655100116 + 50600655100117.

It is an arithmetic number, because the mean of its divisors is an integer number (50600655100117).

Almost surely, 2101201310200233 is an apocalyptic number.

It is an amenable number.

101201310200233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201310200233 is an equidigital number, since it uses as much as digits as its factorization.

101201310200233 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 19.

Adding to 101201310200233 its reverse (332002013102101), we get a palindrome (433203323302334).

The spelling of 101201310200233 in words is "one hundred one trillion, two hundred one billion, three hundred ten million, two hundred thousand, two hundred thirty-three".