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1022235345101 is a prime number
BaseRepresentation
bin11101110000000011111…
…10011000000011001101
310121201120100010222202002
432320001332120003031
5113222014222020401
62101335231042045
7133565642032025
oct16700176300315
93551510128662
101022235345101
11364589225863
12146148670325
137551cacb989
143769556aa85
151b8cd881a6b
hexee01f980cd

1022235345101 has 2 divisors, whose sum is σ = 1022235345102. Its totient is φ = 1022235345100.

The previous prime is 1022235345091. The next prime is 1022235345121. The reversal of 1022235345101 is 1015435322201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 644606659876 + 377628685225 = 802874^2 + 614515^2 .

It is an emirp because it is prime and its reverse (1015435322201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022235345101 - 26 = 1022235345037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022235345121) 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, 511117672550 + 511117672551.

It is an arithmetic number, because the mean of its divisors is an integer number (511117672551).

Almost surely, 21022235345101 is an apocalyptic number.

It is an amenable number.

1022235345101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022235345101 is an equidigital number, since it uses as much as digits as its factorization.

1022235345101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 1022235345101 in words is "one trillion, twenty-two billion, two hundred thirty-five million, three hundred forty-five thousand, one hundred one".