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1002120121 is a prime number
BaseRepresentation
bin111011101110110…
…010001110111001
32120211122222101001
4323232302032321
54023020320441
6243234525001
733555611002
oct7356621671
92524588331
101002120121
11474741752
1223b736761
1312c8001b2
14971401a9
155ce9e731
hex3bbb23b9

1002120121 has 2 divisors, whose sum is σ = 1002120122. Its totient is φ = 1002120120.

The previous prime is 1002120109. The next prime is 1002120127. The reversal of 1002120121 is 1210212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950797225 + 51322896 = 30835^2 + 7164^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002120121 - 215 = 1002087353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002120098 and 1002120107.

It is not a weakly prime, because it can be changed into another prime (1002120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060060 + 501060061.

It is an arithmetic number, because the mean of its divisors is an integer number (501060061).

Almost surely, 21002120121 is an apocalyptic number.

It is an amenable number.

1002120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002120121 is an equidigital number, since it uses as much as digits as its factorization.

1002120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1002120121 is about 31656.2809091656. The cubic root of 1002120121 is about 1000.7062081526.

Adding to 1002120121 its reverse (1210212001), we get a palindrome (2212332122).

The spelling of 1002120121 in words is "one billion, two million, one hundred twenty thousand, one hundred twenty-one".