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20002002210101 is a prime number
BaseRepresentation
bin1001000110001000101000…
…01111001000110100110101
32121211011122220222022120102
410203010110033020310311
510110203100031210401
6110312443140243445
74133045155360052
oct443042417106465
977734586868512
1020002002210101
11641188a88412a
1222b06320a0585
13b21247053042
144d2160130029
1524a470a3356b
hex1231143c8d35

20002002210101 has 2 divisors, whose sum is σ = 20002002210102. Its totient is φ = 20002002210100.

The previous prime is 20002002210097. The next prime is 20002002210131. The reversal of 20002002210101 is 10101220020002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14383443087601 + 5618559122500 = 3792551^2 + 2370350^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002002210101 - 22 = 20002002210097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002002210131) 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, 10001001105050 + 10001001105051.

It is an arithmetic number, because the mean of its divisors is an integer number (10001001105051).

Almost surely, 220002002210101 is an apocalyptic number.

It is an amenable number.

20002002210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002002210101 is an equidigital number, since it uses as much as digits as its factorization.

20002002210101 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 11.

Adding to 20002002210101 its reverse (10101220020002), we get a palindrome (30103222230103).

The spelling of 20002002210101 in words is "twenty trillion, two billion, two million, two hundred ten thousand, one hundred one".