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121100212213 is a prime number
BaseRepresentation
bin111000011001000100…
…0101001011111110101
3102120120200102011220221
41300302020221133311
53441003123242323
6131344353454341
711514655551121
oct1606210513765
9376520364827
10121100212213
11473a3a04912
121b5782713b1
13b55c110806
145c0b4dc581
15323b87e55d
hex1c322297f5

121100212213 has 2 divisors, whose sum is σ = 121100212214. Its totient is φ = 121100212212.

The previous prime is 121100212199. The next prime is 121100212273. The reversal of 121100212213 is 312212001121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113853606084 + 7246606129 = 337422^2 + 85127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121100212213 is a prime.

It is a super-2 number, since 2×1211002122132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121100212273) 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, 60550106106 + 60550106107.

It is an arithmetic number, because the mean of its divisors is an integer number (60550106107).

Almost surely, 2121100212213 is an apocalyptic number.

It is an amenable number.

121100212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100212213 is an equidigital number, since it uses as much as digits as its factorization.

121100212213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121100212213 its reverse (312212001121), we get a palindrome (433312213334).

The spelling of 121100212213 in words is "one hundred twenty-one billion, one hundred million, two hundred twelve thousand, two hundred thirteen".