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2010100021 is a prime number
BaseRepresentation
bin111011111001111…
…1011000100110101
312012002100122211221
41313303323010311
513104041200041
6531243230341
7100545365626
oct16763730465
95162318757
102010100021
11941715996
124812183b1
132605a25c7
14150d67a4d
15bb70a2d1
hex77cfb135

2010100021 has 2 divisors, whose sum is σ = 2010100022. Its totient is φ = 2010100020.

The previous prime is 2010100013. The next prime is 2010100033. The reversal of 2010100021 is 1200010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1715119396 + 294980625 = 41414^2 + 17175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010100021 - 23 = 2010100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010099977 and 2010100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010101021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005050010 + 1005050011.

It is an arithmetic number, because the mean of its divisors is an integer number (1005050011).

Almost surely, 22010100021 is an apocalyptic number.

It is an amenable number.

2010100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010100021 is an equidigital number, since it uses as much as digits as its factorization.

2010100021 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 7.

The square root of 2010100021 is about 44834.1390125873. The cubic root of 2010100021 is about 1262.0383612468.

Adding to 2010100021 its reverse (1200010102), we get a palindrome (3210110123).

The spelling of 2010100021 in words is "two billion, ten million, one hundred thousand, twenty-one".