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2000101021 is a prime number
BaseRepresentation
bin111011100110111…
…0001111010011101
312011101112122210121
41313031301322131
513044011213041
6530245034541
7100364402212
oct16715617235
95141478717
102000101021
11937006556
124799b5a51
1325b4b1339
1414d8c3b09
15ba8d27d1
hex77371e9d

2000101021 has 2 divisors, whose sum is σ = 2000101022. Its totient is φ = 2000101020.

The previous prime is 2000100979. The next prime is 2000101067. The reversal of 2000101021 is 1201010002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1411504900 + 588596121 = 37570^2 + 24261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000101021 - 221 = 1998003869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000100995 and 2000101013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000101721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000050510 + 1000050511.

It is an arithmetic number, because the mean of its divisors is an integer number (1000050511).

Almost surely, 22000101021 is an apocalyptic number.

It is an amenable number.

2000101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000101021 is an equidigital number, since it uses as much as digits as its factorization.

2000101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2000101021 is about 44722.4889848497. The cubic root of 2000101021 is about 1259.9422626185.

Adding to 2000101021 its reverse (1201010002), we get a palindrome (3201111023).

The spelling of 2000101021 in words is "two billion, one hundred one thousand, twenty-one".