Search a number
-
+
10121121202109 is a prime number
BaseRepresentation
bin1001001101001000000111…
…0101010111111110111101
31022211120101100010211110212
42103102001311113332331
52311311024011431414
633305325012442205
72063140550516441
oct223220165277675
938746340124425
1010121121202109
113252386074955
12117565b019365
13585557707b98
1426dc17332821
1512841856b83e
hex93481d57fbd

10121121202109 has 2 divisors, whose sum is σ = 10121121202110. Its totient is φ = 10121121202108.

The previous prime is 10121121202063. The next prime is 10121121202141. The reversal of 10121121202109 is 90120212112101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10121019636025 + 101566084 = 3181355^2 + 10078^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121121202109 - 232 = 10116826234813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121121202009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060560601054 + 5060560601055.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560601055).

Almost surely, 210121121202109 is an apocalyptic number.

It is an amenable number.

10121121202109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121121202109 is an equidigital number, since it uses as much as digits as its factorization.

10121121202109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10121121202109 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred nine".