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1001101200221 is a prime number
BaseRepresentation
bin11101001000101100100…
…10000000101101011101
310112201000110112012012102
432210112102000231131
5112400223401401341
62043522145014445
7132220135541213
oct16442622005535
93481013465172
101001101200221
1135662358aa21
1214202a924425
13735324798c5
143664c7b8cb3
151b093287c9b
hexe916480b5d

1001101200221 has 2 divisors, whose sum is σ = 1001101200222. Its totient is φ = 1001101200220.

The previous prime is 1001101200199. The next prime is 1001101200269. The reversal of 1001101200221 is 1220021011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 650056800121 + 351044400100 = 806261^2 + 592490^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001101200221 - 218 = 1001100938077 is a prime.

It is a super-2 number, since 2×10011012002212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001104200221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550600110 + 500550600111.

It is an arithmetic number, because the mean of its divisors is an integer number (500550600111).

Almost surely, 21001101200221 is an apocalyptic number.

It is an amenable number.

1001101200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101200221 is an equidigital number, since it uses as much as digits as its factorization.

1001101200221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001101200221 its reverse (1220021011001), we get a palindrome (2221122211222).

The spelling of 1001101200221 in words is "one trillion, one billion, one hundred one million, two hundred thousand, two hundred twenty-one".