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1010101100221 is a prime number
BaseRepresentation
bin11101011001011101011…
…01111001111010111101
310120120020200102111001001
432230232231321322331
5113022141340201341
62052011204050301
7132656150454553
oct16545655717275
93516220374031
101010101100221
1135a421813004
12143920993991
1374337bc3515
1436c63ba5bd3
151b41d444d31
hexeb2eb79ebd

1010101100221 has 2 divisors, whose sum is σ = 1010101100222. Its totient is φ = 1010101100220.

The previous prime is 1010101100207. The next prime is 1010101100227. The reversal of 1010101100221 is 1220011010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998380656100 + 11720444121 = 999190^2 + 108261^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101100221 - 229 = 1009564229309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010101100198 and 1010101100207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010101100227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050550110 + 505050550111.

It is an arithmetic number, because the mean of its divisors is an integer number (505050550111).

Almost surely, 21010101100221 is an apocalyptic number.

It is an amenable number.

1010101100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101100221 is an equidigital number, since it uses as much as digits as its factorization.

1010101100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010101100221 its reverse (1220011010101), we get a palindrome (2230112110322).

The spelling of 1010101100221 in words is "one trillion, ten billion, one hundred one million, one hundred thousand, two hundred twenty-one".