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102020010101 is a prime number
BaseRepresentation
bin101111100000011011…
…1011101000001110101
3100202022221122111011122
41133000313131001311
53132414110310401
6114511202513325
710241102530532
oct1370067350165
9322287574148
10102020010101
113a2a26aa639
1217932365845
13980b1719a9
144d1b447d89
1529c175121b
hex17c0ddd075

102020010101 has 2 divisors, whose sum is σ = 102020010102. Its totient is φ = 102020010100.

The previous prime is 102020010097. The next prime is 102020010119. The reversal of 102020010101 is 101010020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81068895076 + 20951115025 = 284726^2 + 144745^2 .

It is an emirp because it is prime and its reverse (101010020201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102020010101 - 22 = 102020010097 is a prime.

It is a super-2 number, since 2×1020200101012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102020010151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010005050 + 51010005051.

It is an arithmetic number, because the mean of its divisors is an integer number (51010005051).

Almost surely, 2102020010101 is an apocalyptic number.

It is an amenable number.

102020010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102020010101 is an equidigital number, since it uses as much as digits as its factorization.

102020010101 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 8.

Adding to 102020010101 its reverse (101010020201), we get a palindrome (203030030302).

It can be divided in two parts, 1020200 and 10101, that added together give a palindrome (1030301).

The spelling of 102020010101 in words is "one hundred two billion, twenty million, ten thousand, one hundred one".