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100201202021 is a prime number
BaseRepresentation
bin101110101010001110…
…1010000000101100101
3100120122012020110112102
41131110131100011211
53120203001431041
6114010511301445
710145036110214
oct1352435200545
9316565213472
10100201202021
1139549a6a168
121750521a885
1395ab3c7bab
144bc7a7707b
152916c3009b
hex1754750165

100201202021 has 2 divisors, whose sum is σ = 100201202022. Its totient is φ = 100201202020.

The previous prime is 100201201979. The next prime is 100201202041. The reversal of 100201202021 is 120202102001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53668672225 + 46532529796 = 231665^2 + 215714^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201202021 - 26 = 100201201957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201201993 and 100201202011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201202041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100601010 + 50100601011.

It is an arithmetic number, because the mean of its divisors is an integer number (50100601011).

Almost surely, 2100201202021 is an apocalyptic number.

It is an amenable number.

100201202021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201202021 is an equidigital number, since it uses as much as digits as its factorization.

100201202021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201202021 its reverse (120202102001), we get a palindrome (220403304022).

The spelling of 100201202021 in words is "one hundred billion, two hundred one million, two hundred two thousand, twenty-one".