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10030101332101 is a prime number
BaseRepresentation
bin1001000111110101000010…
…1000001000000010000101
31022111212110000012100201021
42101331100220020002011
52303313121420111401
633155433121031141
72053436155424104
oct221752050100205
938455400170637
1010030101332101
113217818799394
12115ba987854b1
13579ab050c536
14269660bd403b
15125d8c8d62a1
hex91f50a08085

10030101332101 has 2 divisors, whose sum is σ = 10030101332102. Its totient is φ = 10030101332100.

The previous prime is 10030101332099. The next prime is 10030101332123. The reversal of 10030101332101 is 10123310103001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5020893340225 + 5009207991876 = 2240735^2 + 2238126^2 .

It is an emirp because it is prime and its reverse (10123310103001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10030101332101 - 21 = 10030101332099 is a prime.

It is a super-3 number, since 3×100301013321013 (a number of 40 digits) contains 333 as substring.

Together with 10030101332099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10030101332131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015050666050 + 5015050666051.

It is an arithmetic number, because the mean of its divisors is an integer number (5015050666051).

Almost surely, 210030101332101 is an apocalyptic number.

It is an amenable number.

10030101332101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10030101332101 is an equidigital number, since it uses as much as digits as its factorization.

10030101332101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10030101332101 its reverse (10123310103001), we get a palindrome (20153411435102).

The spelling of 10030101332101 in words is "ten trillion, thirty billion, one hundred one million, three hundred thirty-two thousand, one hundred one".