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10021242011201 is a prime number
BaseRepresentation
bin1001000111010100000010…
…0100011111111001000001
31022111000120120211020010222
42101311000210133321001
52303142000423324301
633151410043032425
72053003501432151
oct221650044377101
938430516736128
1010021242011201
113213a91953483
12115a22580b715
13578ccac46715
1426906035c761
15125a1ec4731b
hex91d4091fe41

10021242011201 has 2 divisors, whose sum is σ = 10021242011202. Its totient is φ = 10021242011200.

The previous prime is 10021242011189. The next prime is 10021242011203. The reversal of 10021242011201 is 10211024212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8332084306225 + 1689157704976 = 2886535^2 + 1299676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021242011201 - 234 = 10004062142017 is a prime.

Together with 10021242011203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021242011201.

It is not a weakly prime, because it can be changed into another prime (10021242011203) 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, 5010621005600 + 5010621005601.

It is an arithmetic number, because the mean of its divisors is an integer number (5010621005601).

Almost surely, 210021242011201 is an apocalyptic number.

It is an amenable number.

10021242011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021242011201 is an equidigital number, since it uses as much as digits as its factorization.

10021242011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10021242011201 its reverse (10211024212001), we get a palindrome (20232266223202).

The spelling of 10021242011201 in words is "ten trillion, twenty-one billion, two hundred forty-two million, eleven thousand, two hundred one".