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211211021101109 is a prime number
BaseRepresentation
bin110000000001100001100101…
…111000101010100000110101
31000200211120120012201100220012
4300001201211320222200311
5210140440132400213414
62025113000435350005
762326330666334231
oct6001414570524065
91020746505640805
10211211021101109
1161331100173887
121b83213b752305
1390b11631070b3
143a2294cc815c1
15196413b52933e
hexc01865e2a835

211211021101109 has 2 divisors, whose sum is σ = 211211021101110. Its totient is φ = 211211021101108.

The previous prime is 211211021101097. The next prime is 211211021101121. The reversal of 211211021101109 is 901101120112112.

It is a balanced prime because it is at equal distance from previous prime (211211021101097) and next prime (211211021101121).

It can be written as a sum of positive squares in only one way, i.e., 211152576588100 + 58444513009 = 14531090^2 + 241753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211211021101109 is a prime.

It is a super-2 number, since 2×2112110211011092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211211021107109) 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, 105605510550554 + 105605510550555.

It is an arithmetic number, because the mean of its divisors is an integer number (105605510550555).

Almost surely, 2211211021101109 is an apocalyptic number.

It is an amenable number.

211211021101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211021101109 is an equidigital number, since it uses as much as digits as its factorization.

211211021101109 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 23.

The spelling of 211211021101109 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-one million, one hundred one thousand, one hundred nine".