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1022221102229 is a prime number
BaseRepresentation
bin11101110000000010010…
…00000010110010010101
310121201112100100101012022
432320001020002302111
5113222002100232404
62101334001502525
7133565410001435
oct16700110026225
93551470311168
101022221102229
11364581187998
12146143941a45
1375519b82b42
14376937002c5
151b8cc4bb8be
hexee01202c95

1022221102229 has 2 divisors, whose sum is σ = 1022221102230. Its totient is φ = 1022221102228.

The previous prime is 1022221102193. The next prime is 1022221102237. The reversal of 1022221102229 is 9222011222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1019837416900 + 2383685329 = 1009870^2 + 48823^2 .

It is an emirp because it is prime and its reverse (9222011222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022221102229 - 28 = 1022221101973 is a prime.

It is a super-3 number, since 3×10222211022293 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022221102198 and 1022221102207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022221102729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511110551114 + 511110551115.

It is an arithmetic number, because the mean of its divisors is an integer number (511110551115).

Almost surely, 21022221102229 is an apocalyptic number.

It is an amenable number.

1022221102229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022221102229 is an equidigital number, since it uses as much as digits as its factorization.

1022221102229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 1022221102229 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-nine".