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1221101022209 is a prime number
BaseRepresentation
bin10001110001001111010…
…010101110110000000001
311022201212122000002202112
4101301033102232300001
5130001303330202314
62332544400425105
7154136010301145
oct21611722566001
94281778002675
101221101022209
11430958769422
121787a8318195
138b1c3110673
144315cb37225
1521b6c44043e
hex11c4f4aec01

1221101022209 has 2 divisors, whose sum is σ = 1221101022210. Its totient is φ = 1221101022208.

The previous prime is 1221101022191. The next prime is 1221101022259. The reversal of 1221101022209 is 9022201011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1165812553984 + 55288468225 = 1079728^2 + 235135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221101022209 is a prime.

It is a super-3 number, since 3×12211010222093 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1221101022259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610550511104 + 610550511105.

It is an arithmetic number, because the mean of its divisors is an integer number (610550511105).

Almost surely, 21221101022209 is an apocalyptic number.

It is an amenable number.

1221101022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221101022209 is an equidigital number, since it uses as much as digits as its factorization.

1221101022209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 1221101022209 in words is "one trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, two hundred nine".