Search a number
-
+
10122110202089 is a prime number
BaseRepresentation
bin1001001101001011110011…
…0010000111000011101001
31022211122221021010020101202
42103102330302013003221
52311320040202431324
633310011102253545
72063204220054344
oct223227462070351
938748837106352
1010122110202089
113252843365206
1211758962872b5
13585684593282
1426dcac81945b
151284752c88ae
hex934bcc870e9

10122110202089 has 2 divisors, whose sum is σ = 10122110202090. Its totient is φ = 10122110202088.

The previous prime is 10122110202079. The next prime is 10122110202103. The reversal of 10122110202089 is 98020201122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9970406184025 + 151704018064 = 3157595^2 + 389492^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122110202089 - 212 = 10122110197993 is a prime.

It is a super-2 number, since 2×101221102020892 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122110202079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061055101044 + 5061055101045.

It is an arithmetic number, because the mean of its divisors is an integer number (5061055101045).

Almost surely, 210122110202089 is an apocalyptic number.

It is an amenable number.

10122110202089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122110202089 is an equidigital number, since it uses as much as digits as its factorization.

10122110202089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 10122110202089 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred two thousand, eighty-nine".