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2011011221 is a prime number
BaseRepresentation
bin111011111011101…
…1001100010010101
312012011001221210002
41313313121202111
513104304324341
6531314541045
7100556212322
oct16767314225
95164057702
102011011221
1194218854a
12481597785
1326083128b
14151123b49
15bb83a29b
hex77dd9895

2011011221 has 2 divisors, whose sum is σ = 2011011222. Its totient is φ = 2011011220.

The previous prime is 2011011169. The next prime is 2011011241. The reversal of 2011011221 is 1221101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1591212100 + 419799121 = 39890^2 + 20489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2011011221 is a prime.

It is a super-2 number, since 2×20110112212 = 8088332261975821682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011011241) 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, 1005505610 + 1005505611.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505611).

Almost surely, 22011011221 is an apocalyptic number.

It is an amenable number.

2011011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011011221 is an equidigital number, since it uses as much as digits as its factorization.

2011011221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2011011221 is about 44844.2997603932. The cubic root of 2011011221 is about 1262.2290309683.

Adding to 2011011221 its reverse (1221101102), we get a palindrome (3232112323).

The spelling of 2011011221 in words is "two billion, eleven million, eleven thousand, two hundred twenty-one".