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1012010101 is a prime number
BaseRepresentation
bin111100010100100…
…000110001110101
32121112021102212121
4330110200301311
54033033310401
6244230515541
734035641524
oct7424406165
92545242777
101012010101
1147a287193
12242b05bb1
1313188395b
14985964bb
155dca4ca1
hex3c520c75

1012010101 has 2 divisors, whose sum is σ = 1012010102. Its totient is φ = 1012010100.

The previous prime is 1012010099. The next prime is 1012010149. The reversal of 1012010101 is 1010102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000456900 + 11553201 = 31630^2 + 3399^2 .

It is an emirp because it is prime and its reverse (1010102101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012010101 - 21 = 1012010099 is a prime.

Together with 1012010099, it forms a pair of twin primes.

1012010101 is a modest number, since divided by 10101 gives 1012 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012010161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506005050 + 506005051.

It is an arithmetic number, because the mean of its divisors is an integer number (506005051).

Almost surely, 21012010101 is an apocalyptic number.

It is an amenable number.

1012010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012010101 is an equidigital number, since it uses as much as digits as its factorization.

1012010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1012010101 is about 31812.1062018848. The cubic root of 1012010101 is about 1003.9874461402.

Adding to 1012010101 its reverse (1010102101), we get a palindrome (2022112202).

The spelling of 1012010101 in words is "one billion, twelve million, ten thousand, one hundred one".