Search a number
-
+
102121220137 is a prime number
BaseRepresentation
bin101111100011011100…
…1100010100000101001
3100202121000002111020111
41133012321202200221
53133121013021022
6114525220054321
710243442022526
oct1370671424051
9322530074214
10102121220137
113a3448481a2
12179602343a1
13982611a1a1
144d2aa7214d
1529ca594477
hex17c6e62829

102121220137 has 2 divisors, whose sum is σ = 102121220138. Its totient is φ = 102121220136.

The previous prime is 102121220119. The next prime is 102121220141. The reversal of 102121220137 is 731022121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81261484096 + 20859736041 = 285064^2 + 144429^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121220137 - 223 = 102112831529 is a prime.

It is a super-2 number, since 2×1021212201372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102121220837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060610068 + 51060610069.

It is an arithmetic number, because the mean of its divisors is an integer number (51060610069).

Almost surely, 2102121220137 is an apocalyptic number.

It is an amenable number.

102121220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121220137 is an equidigital number, since it uses as much as digits as its factorization.

102121220137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 102121220137 its reverse (731022121201), we get a palindrome (833143341338).

The spelling of 102121220137 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred thirty-seven".