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100021212017 is a prime number
BaseRepresentation
bin101110100100110111…
…0101001001101110001
3100120011122120000122222
41131021232221031301
53114320412241032
6113541001410425
710140422163056
oct1351156511561
9316148500588
10100021212017
1139467403aa1
1217474a99a15
13958002872c
144babbc302d
152906029a12
hex1749ba9371

100021212017 has 2 divisors, whose sum is σ = 100021212018. Its totient is φ = 100021212016.

The previous prime is 100021212007. The next prime is 100021212089. The reversal of 100021212017 is 710212120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80815686961 + 19205525056 = 284281^2 + 138584^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021212017 - 24 = 100021212001 is a prime.

It is a super-3 number, since 3×1000212120173 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100021211986 and 100021212004.

It is not a weakly prime, because it can be changed into another prime (100021212007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010606008 + 50010606009.

It is an arithmetic number, because the mean of its divisors is an integer number (50010606009).

Almost surely, 2100021212017 is an apocalyptic number.

It is an amenable number.

100021212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021212017 is an equidigital number, since it uses as much as digits as its factorization.

100021212017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100021212017 its reverse (710212120001), we get a palindrome (810233332018).

The spelling of 100021212017 in words is "one hundred billion, twenty-one million, two hundred twelve thousand, seventeen".