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210020101 is a prime number
BaseRepresentation
bin11001000010010…
…10011100000101
3112122012010102021
430201022130011
5412231120401
632501243141
75130066334
oct1441123405
9478163367
10210020101
11a8607235
125a4034b1
1334685065
141dc6dd1b
15136882a1
hexc84a705

210020101 has 2 divisors, whose sum is σ = 210020102. Its totient is φ = 210020100.

The previous prime is 210020087. The next prime is 210020137. The reversal of 210020101 is 101020012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110040100 + 99980001 = 10490^2 + 9999^2 .

It is a cyclic number.

It is not a de Polignac number, because 210020101 - 227 = 75802373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105010050 + 105010051.

It is an arithmetic number, because the mean of its divisors is an integer number (105010051).

Almost surely, 2210020101 is an apocalyptic number.

It is an amenable number.

210020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210020101 is an equidigital number, since it uses as much as digits as its factorization.

210020101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 210020101 is about 14492.0702799842. The cubic root of 210020101 is about 594.4111595562.

Adding to 210020101 its reverse (101020012), we get a palindrome (311040113).

It can be divided in two parts, 2100 and 20101, that added together give a square (22201 = 1492).

The spelling of 210020101 in words is "two hundred ten million, twenty thousand, one hundred one".