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221011010102009 is a prime number
BaseRepresentation
bin110010010000001000100010…
…101111111010001011111001
31001222112110001021222010022002
4302100020202233322023321
5212432021022041231014
62102015020102510345
764360342601404301
oct6220104257721371
91058473037863262
10221011010102009
116446a274503936
12209554b81353b5
139642330891bba
143c80dc0668601
151a8400c073dde
hexc90222bfa2f9

221011010102009 has 2 divisors, whose sum is σ = 221011010102010. Its totient is φ = 221011010102008.

The previous prime is 221011010101993. The next prime is 221011010102039. The reversal of 221011010102009 is 900201010110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192952324369984 + 28058685732025 = 13890728^2 + 5297045^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011010102009 - 24 = 221011010101993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221011010102039) 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, 110505505051004 + 110505505051005.

It is an arithmetic number, because the mean of its divisors is an integer number (110505505051005).

Almost surely, 2221011010102009 is an apocalyptic number.

It is an amenable number.

221011010102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011010102009 is an equidigital number, since it uses as much as digits as its factorization.

221011010102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 221011010102009 in words is "two hundred twenty-one trillion, eleven billion, ten million, one hundred two thousand, nine".