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210101000101 is a prime number
BaseRepresentation
bin1100001110101011111…
…1101101011110100101
3202002022022002122201021
43003222333231132211
511420241324000401
6240304041331141
721115333014616
oct3035277553645
9662268078637
10210101000101
11811155a0073
1234876496ab1
1316a73c10405
14a251815c0d
1556ea1332a1
hex30eafed7a5

210101000101 has 2 divisors, whose sum is σ = 210101000102. Its totient is φ = 210101000100.

The previous prime is 210101000051. The next prime is 210101000113. The reversal of 210101000101 is 101000101012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199742849476 + 10358150625 = 446926^2 + 101775^2 .

It is a cyclic number.

It is not a de Polignac number, because 210101000101 - 211 = 210100998053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210101000401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050500050 + 105050500051.

It is an arithmetic number, because the mean of its divisors is an integer number (105050500051).

Almost surely, 2210101000101 is an apocalyptic number.

It is an amenable number.

210101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101000101 is an equidigital number, since it uses as much as digits as its factorization.

210101000101 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.

Adding to 210101000101 its reverse (101000101012), we get a palindrome (311101101113).

The spelling of 210101000101 in words is "two hundred ten billion, one hundred one million, one hundred one", and thus it is an aban number.