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1010100221093 is a prime number
BaseRepresentation
bin11101011001011101010…
…10100011010010100101
310120120020121202211002202
432230232222203102211
5113022141124033333
62052011133144245
7132656140133525
oct16545652432245
93516217684082
101010100221093
1135a421272557
1214392062b085
1374337976322
1436c63a17685
151b41d31e5e8
hexeb2eaa34a5

1010100221093 has 2 divisors, whose sum is σ = 1010100221094. Its totient is φ = 1010100221092.

The previous prime is 1010100221057. The next prime is 1010100221153. The reversal of 1010100221093 is 3901220010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 925103483329 + 84996737764 = 961823^2 + 291542^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100221093 - 210 = 1010100220069 is a prime.

It is a super-2 number, since 2×10101002210932 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100221033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050110546 + 505050110547.

It is an arithmetic number, because the mean of its divisors is an integer number (505050110547).

Almost surely, 21010100221093 is an apocalyptic number.

It is an amenable number.

1010100221093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100221093 is an equidigital number, since it uses as much as digits as its factorization.

1010100221093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1010100221093 its reverse (3901220010101), we get a palindrome (4911320231194).

The spelling of 1010100221093 in words is "one trillion, ten billion, one hundred million, two hundred twenty-one thousand, ninety-three".