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1021102011217 is a prime number
BaseRepresentation
bin11101101101111100110…
…11000011001101010001
310121121122100120122221001
432312332123003031101
5113212204103324332
62101030543502001
7133525600613431
oct16667633031521
93547570518831
101021102011217
11364057513292
12145a90bb7901
137539c079702
14375c8c322c1
151b8641140e7
hexedbe6c3351

1021102011217 has 2 divisors, whose sum is σ = 1021102011218. Its totient is φ = 1021102011216.

The previous prime is 1021102011211. The next prime is 1021102011227. The reversal of 1021102011217 is 7121102011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 863271407376 + 157830603841 = 929124^2 + 397279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1021102011217 is a prime.

It is a super-2 number, since 2×10211020112172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021102011194 and 1021102011203.

It is not a weakly prime, because it can be changed into another prime (1021102011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510551005608 + 510551005609.

It is an arithmetic number, because the mean of its divisors is an integer number (510551005609).

Almost surely, 21021102011217 is an apocalyptic number.

It is an amenable number.

1021102011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021102011217 is an equidigital number, since it uses as much as digits as its factorization.

1021102011217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 1021102011217 its reverse (7121102011201), we get a palindrome (8142204022418).

The spelling of 1021102011217 in words is "one trillion, twenty-one billion, one hundred two million, eleven thousand, two hundred seventeen".