110400120101 has 2 divisors, whose sum is σ = 110400120102. Its totient is φ = 110400120100.

The previous prime is 110400120067. The next prime is 110400120119. The reversal of 110400120101 is 101021004011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69595716100 + 40804404001 = 263810^2 + 202001^2 .

It is an emirp because it is prime and its reverse (101021004011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110400120101 - 2¹⁴ = 110400103717 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 (110400120161) 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, 55200060050 + 55200060051.

It is an arithmetic number, because the mean of its divisors is an integer number (55200060051).

Almost surely, 2^110400120101 is an apocalyptic number.

It is an amenable number.

110400120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110400120101 is an equidigital number, since it uses as much as digits as its factorization.

110400120101 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.

Adding to 110400120101 its reverse (101021004011), we get a palindrome (211421124112).

The spelling of 110400120101 in words is "one hundred ten billion, four hundred million, one hundred twenty thousand, one hundred one".