Search a number
-
+
100100010121 is a prime number
BaseRepresentation
bin101110100111001101…
…1001111000010001001
3100120101010211101100021
41131032123033002021
53120001100310441
6113552454340441
710142400022126
oct1351633170211
9316333741307
10100100010121
11394a79341a1
121749735a721
139593457a27
144bb845574d
15290cde23d1
hex174e6cf089

100100010121 has 2 divisors, whose sum is σ = 100100010122. Its totient is φ = 100100010120.

The previous prime is 100100010097. The next prime is 100100010151. The reversal of 100100010121 is 121010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92589361225 + 7510648896 = 304285^2 + 86664^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100010121 - 27 = 100100009993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100010151) 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, 50050005060 + 50050005061.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005061).

Almost surely, 2100100010121 is an apocalyptic number.

It is an amenable number.

100100010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010121 is an equidigital number, since it uses as much as digits as its factorization.

100100010121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100010121 its reverse (121010001001), we get a palindrome (221110011122).

The spelling of 100100010121 in words is "one hundred billion, one hundred million, ten thousand, one hundred twenty-one".