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2010121121977 is a prime number
BaseRepresentation
bin11101010000000100100…
…011100011000010111001
321010011110210112010012121
4131100010203203002321
5230413212001400402
64135234211441241
7265140450423223
oct35200443430271
97104423463177
102010121121977
1170553aa73601
122856a95b6221
1311772737c347
146d40cb41413
153744b813837
hex1d4048e30b9

2010121121977 has 2 divisors, whose sum is σ = 2010121121978. Its totient is φ = 2010121121976.

The previous prime is 2010121121969. The next prime is 2010121122083. The reversal of 2010121121977 is 7791211210102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2006347599936 + 3773522041 = 1416456^2 + 61429^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010121121977 - 23 = 2010121121969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010121121377) 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, 1005060560988 + 1005060560989.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060560989).

Almost surely, 22010121121977 is an apocalyptic number.

It is an amenable number.

2010121121977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010121121977 is an equidigital number, since it uses as much as digits as its factorization.

2010121121977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 2010121121977 in words is "two trillion, ten billion, one hundred twenty-one million, one hundred twenty-one thousand, nine hundred seventy-seven".