Search a number
-
+
121001121100129 is a prime number
BaseRepresentation
bin11011100000110011000100…
…110101110011000101100001
3120212102121001011202020200111
4123200303010311303011201
5111324440244000201004
61105203051520251321
734326020403136534
oct3340630465630541
9525377034666614
10121001121100129
1135611318406236
12116a29b2770b41
135269483a5326a
1421c46b2348a1b
15dec7b451ea04
hex6e0cc4d73161

121001121100129 has 2 divisors, whose sum is σ = 121001121100130. Its totient is φ = 121001121100128.

The previous prime is 121001121100099. The next prime is 121001121100151. The reversal of 121001121100129 is 921001121100121.

It is a happy number.

It is an a-pointer prime, because the next prime (121001121100151) can be obtained adding 121001121100129 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72929806611025 + 48071314489104 = 8539895^2 + 6933348^2 .

It is a cyclic number.

It is not a de Polignac number, because 121001121100129 - 213 = 121001121091937 is a prime.

It is not a weakly prime, because it can be changed into another prime (121001128100129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500560550064 + 60500560550065.

It is an arithmetic number, because the mean of its divisors is an integer number (60500560550065).

Almost surely, 2121001121100129 is an apocalyptic number.

It is an amenable number.

121001121100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

121001121100129 is an equidigital number, since it uses as much as digits as its factorization.

121001121100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 121001121100129 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred twenty-nine".