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1002221112041 is a prime number
BaseRepresentation
bin11101001010110010000…
…10001000101011101001
310112210220111211121101222
432211121002020223221
5112410022101041131
62044225232351425
7132256654615232
oct16453102105351
93483814747358
101002221112041
11357048765286
121422a19a5575
13736804ac816
143671741c089
151b10b75387b
hexe959088ae9

1002221112041 has 2 divisors, whose sum is σ = 1002221112042. Its totient is φ = 1002221112040.

The previous prime is 1002221111999. The next prime is 1002221112121. The reversal of 1002221112041 is 1402111222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 935822129641 + 66398982400 = 967379^2 + 257680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002221112041 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002221112341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501110556020 + 501110556021.

It is an arithmetic number, because the mean of its divisors is an integer number (501110556021).

Almost surely, 21002221112041 is an apocalyptic number.

It is an amenable number.

1002221112041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002221112041 is an equidigital number, since it uses as much as digits as its factorization.

1002221112041 is an evil number, because the sum of its binary digits is even.

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

Adding to 1002221112041 its reverse (1402111222001), we get a palindrome (2404332334042).

The spelling of 1002221112041 in words is "one trillion, two billion, two hundred twenty-one million, one hundred twelve thousand, forty-one".