Search a number
-
+
101033102201 is a prime number
BaseRepresentation
bin101111000011000001…
…0101100101101111001
3100122210011121101001012
41132012002230231321
53123403433232301
6114225230003305
710204460125163
oct1360602545571
9318704541035
10101033102201
1139936609079
12176b7946535
1396b1869915
144c66347933
152964ca8ebb
hex17860acb79

101033102201 has 2 divisors, whose sum is σ = 101033102202. Its totient is φ = 101033102200.

The previous prime is 101033102197. The next prime is 101033102221. The reversal of 101033102201 is 102201330101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88911312400 + 12121789801 = 298180^2 + 110099^2 .

It is a cyclic number.

It is not a de Polignac number, because 101033102201 - 22 = 101033102197 is a prime.

It is a super-2 number, since 2×1010331022012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101033102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516551100 + 50516551101.

It is an arithmetic number, because the mean of its divisors is an integer number (50516551101).

Almost surely, 2101033102201 is an apocalyptic number.

It is an amenable number.

101033102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101033102201 is an equidigital number, since it uses as much as digits as its factorization.

101033102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101033102201 its reverse (102201330101), we get a palindrome (203234432302).

The spelling of 101033102201 in words is "one hundred one billion, thirty-three million, one hundred two thousand, two hundred one".