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200201012100101 is a prime number
BaseRepresentation
bin101101100001010011101110…
…001101011011110000000101
3222020212000210202100202101202
4231201103232031123300011
5202220043133044200401
61545443024132232245
760112021466056625
oct5541235615336005
9866760722322352
10200201012100101
1158876855112311
121a554369a6b685
138792b4a19394c
143761ad02c2885
151822a4b2d506b
hexb614ee35bc05

200201012100101 has 2 divisors, whose sum is σ = 200201012100102. Its totient is φ = 200201012100100.

The previous prime is 200201012100049. The next prime is 200201012100149. The reversal of 200201012100101 is 101001210102002.

200201012100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108454020343876 + 91746991756225 = 10414126^2 + 9578465^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201012100101 - 238 = 199926134193157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201012100701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100506050050 + 100100506050051.

It is an arithmetic number, because the mean of its divisors is an integer number (100100506050051).

Almost surely, 2200201012100101 is an apocalyptic number.

It is an amenable number.

200201012100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201012100101 is an equidigital number, since it uses as much as digits as its factorization.

200201012100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200201012100101 its reverse (101001210102002), we get a palindrome (301202222202103).

The spelling of 200201012100101 in words is "two hundred trillion, two hundred one billion, twelve million, one hundred thousand, one hundred one".