110120101 has 24 divisors (see below), whose sum is σ = 146081880. Its totient is φ = 81994752.

The previous prime is 110120099. The next prime is 110120141. The reversal of 110120101 is 101021011.

110120101 = T₃₈ + T₃₉ + ... + T₈₇₀.

It can be written as a sum of positive squares in 4 ways, for example, as 35988001 + 74132100 = 5999^2 + 8610^2 .

It is not a de Polignac number, because 110120101 - 2¹ = 110120099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5745 + ... + 15913.

It is an arithmetic number, because the mean of its divisors is an integer number (6086745).

Almost surely, 2^110120101 is an apocalyptic number.

It is an amenable number.

110120101 is a deficient number, since it is larger than the sum of its proper divisors (35961779).

110120101 is a wasteful number, since it uses less digits than its factorization.

110120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 110120101 is about 10493.8125102367. The cubic root of 110120101 is about 479.3163023763.

Adding to 110120101 its reverse (101021011), we get a palindrome (211141112).

The spelling of 110120101 in words is "one hundred ten million, one hundred twenty thousand, one hundred one".