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100212020201 is a prime number
BaseRepresentation
bin101110101010100011…
…0100001001111101001
3100120122221121002021202
41131111012201033221
53120213234121301
6114011535213545
710145230055126
oct1352506411751
9316587532252
10100212020201
1139555089007
12175089772b5
1395b0714c97
144bc929174d
152917b6a66b
hex17551a13e9

100212020201 has 2 divisors, whose sum is σ = 100212020202. Its totient is φ = 100212020200.

The previous prime is 100212020197. The next prime is 100212020219. The reversal of 100212020201 is 102020212001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83616397225 + 16595622976 = 289165^2 + 128824^2 .

It is an emirp because it is prime and its reverse (102020212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100212020201 - 22 = 100212020197 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212020401) 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, 50106010100 + 50106010101.

It is an arithmetic number, because the mean of its divisors is an integer number (50106010101).

Almost surely, 2100212020201 is an apocalyptic number.

It is an amenable number.

100212020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212020201 is an equidigital number, since it uses as much as digits as its factorization.

100212020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100212020201 its reverse (102020212001), we get a palindrome (202232232202).

The spelling of 100212020201 in words is "one hundred billion, two hundred twelve million, twenty thousand, two hundred one".