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100101125221 is a prime number
BaseRepresentation
bin101110100111001111…
…1011111010001100101
3100120101012221000222021
41131032133133101211
53120001342001341
6113552534303141
710142412345136
oct1351637372145
9316335830867
10100101125221
11394a8525a69
12174977b7ab1
139593758456
144bb8665c8d
15290d0629d1
hex174e7df465

100101125221 has 2 divisors, whose sum is σ = 100101125222. Its totient is φ = 100101125220.

The previous prime is 100101125197. The next prime is 100101125269. The reversal of 100101125221 is 122521101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98746149121 + 1354976100 = 314239^2 + 36810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100101125221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101125195 and 100101125204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101125291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050562610 + 50050562611.

It is an arithmetic number, because the mean of its divisors is an integer number (50050562611).

Almost surely, 2100101125221 is an apocalyptic number.

It is an amenable number.

100101125221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101125221 is an equidigital number, since it uses as much as digits as its factorization.

100101125221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 100101125221 its reverse (122521101001), we get a palindrome (222622226222).

The spelling of 100101125221 in words is "one hundred billion, one hundred one million, one hundred twenty-five thousand, two hundred twenty-one".