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20101110101 is a prime number
BaseRepresentation
bin10010101110000111…
…101001100101010101
31220212212210012020022
4102232013221211111
5312131341010401
613122340314525
71311060421352
oct225607514525
956785705208
1020101110101
118585609596
123a8b9a2a45
131b846197b7
14d898c5629
157c9a8e71b
hex4ae1e9955

20101110101 has 2 divisors, whose sum is σ = 20101110102. Its totient is φ = 20101110100.

The previous prime is 20101110091. The next prime is 20101110109. The reversal of 20101110101 is 10101110102.

It is a happy number.

It is an a-pointer prime, because the next prime (20101110109) can be obtained adding 20101110101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18968451076 + 1132659025 = 137726^2 + 33655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20101110101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101110109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050555050 + 10050555051.

It is an arithmetic number, because the mean of its divisors is an integer number (10050555051).

Almost surely, 220101110101 is an apocalyptic number.

It is an amenable number.

20101110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101110101 is an equidigital number, since it uses as much as digits as its factorization.

20101110101 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 8.

Adding to 20101110101 its reverse (10101110102), we get a palindrome (30202220203).

Subtracting from 20101110101 its reverse (10101110102), we obtain a palindrome (9999999999).

It can be divided in two parts, 201011 and 10101, that added together give a palindrome (211112).

The spelling of 20101110101 in words is "twenty billion, one hundred one million, one hundred ten thousand, one hundred one".