110010101 has 2 divisors, whose sum is σ = 110010102. Its totient is φ = 110010100.

The previous prime is 110010097. The next prime is 110010113. The reversal of 110010101 is 101010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60996100 + 49014001 = 7810^2 + 7001^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010101 - 2² = 110010097 is a prime.

110010101 is a modest number, since divided by 10101 gives 110 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005050 + 55005051.

It is an arithmetic number, because the mean of its divisors is an integer number (55005051).

Almost surely, 2^110010101 is an apocalyptic number.

It is an amenable number.

110010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010101 is an equidigital number, since it uses as much as digits as its factorization.

110010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 110010101 is about 10488.5700169280. The cubic root of 110010101 is about 479.1566513580.

Adding to 110010101 its reverse (101010011), we get a palindrome (211020112).

The spelling of 110010101 in words is "one hundred ten million, ten thousand, one hundred one".