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20020100022001 is a prime number
BaseRepresentation
bin1001000110101010010101…
…11100110011111011110001
32121212220101012012102022001
410203111022330303323301
510111002131101201001
6110325035035214001
74134255512262052
oct443251274637361
977786335172261
1020020100022001
1164195275a3072
1222b4042ba7301
13b22b6c60c191
144d2d9993c729
1524ab7e7ad001
hex12354af33ef1

20020100022001 has 2 divisors, whose sum is σ = 20020100022002. Its totient is φ = 20020100022000.

The previous prime is 20020100021969. The next prime is 20020100022047. The reversal of 20020100022001 is 10022000102002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19225418702400 + 794681319601 = 4384680^2 + 891449^2 .

It is a cyclic number.

It is not a de Polignac number, because 20020100022001 - 25 = 20020100021969 is a prime.

It is not a weakly prime, because it can be changed into another prime (20020100022071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10010050011000 + 10010050011001.

It is an arithmetic number, because the mean of its divisors is an integer number (10010050011001).

Almost surely, 220020100022001 is an apocalyptic number.

It is an amenable number.

20020100022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20020100022001 is an equidigital number, since it uses as much as digits as its factorization.

20020100022001 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 10.

Adding to 20020100022001 its reverse (10022000102002), we get a palindrome (30042100124003).

The spelling of 20020100022001 in words is "twenty trillion, twenty billion, one hundred million, twenty-two thousand, one".