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121101000101 is a prime number
BaseRepresentation
bin111000011001000101…
…1101001110110100101
3102120120201220012200222
41300302023221312211
53441003324000401
6131344422414125
711514665342144
oct1606213516645
9376521805628
10121101000101
11473a43a2864
121b578591345
13b55c328313
145c0b66575b
15323b987c1b
hex1c322e9da5

121101000101 has 2 divisors, whose sum is σ = 121101000102. Its totient is φ = 121101000100.

The previous prime is 121101000091. The next prime is 121101000107. The reversal of 121101000101 is 101000101121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111706350625 + 9394649476 = 334225^2 + 96926^2 .

It is a cyclic number.

It is not a de Polignac number, because 121101000101 - 230 = 120027258277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121101000107) 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, 60550500050 + 60550500051.

It is an arithmetic number, because the mean of its divisors is an integer number (60550500051).

Almost surely, 2121101000101 is an apocalyptic number.

It is an amenable number.

121101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101000101 is an equidigital number, since it uses as much as digits as its factorization.

121101000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121101000101 its reverse (101000101121), we get a palindrome (222101101222).

It can be divided in two parts, 121 and 101000101, that multiplied together give a palindrome (12221012221).

The spelling of 121101000101 in words is "one hundred twenty-one billion, one hundred one million, one hundred one", and thus it is an aban number.