Search a number
-
+
102121221953 is a prime number
BaseRepresentation
bin101111100011011100…
…1100010111101000001
3100202121000002120201202
41133012321202331001
53133121013100303
6114525220110545
710243442031032
oct1370671427501
9322530076652
10102121221953
113a3448495a3
1217960235455
13982611ac6a
144d2aa72a89
1529ca594c88
hex17c6e62f41

102121221953 has 2 divisors, whose sum is σ = 102121221954. Its totient is φ = 102121221952.

The previous prime is 102121221949. The next prime is 102121222043. The reversal of 102121221953 is 359122121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101562041344 + 559180609 = 318688^2 + 23647^2 .

It is an emirp because it is prime and its reverse (359122121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102121221953 - 22 = 102121221949 is a prime.

It is not a weakly prime, because it can be changed into another prime (102121221913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060610976 + 51060610977.

It is an arithmetic number, because the mean of its divisors is an integer number (51060610977).

Almost surely, 2102121221953 is an apocalyptic number.

It is an amenable number.

102121221953 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121221953 is an equidigital number, since it uses as much as digits as its factorization.

102121221953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 102121221953 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, nine hundred fifty-three".