110100121201110 has 64 divisors (see below), whose sum is σ = 267969666507264. Its totient is φ = 28945680960000.

The previous prime is 110100121201099. The next prime is 110100121201111. The reversal of 110100121201110 is 11102121001011.

110100121201110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110100121201110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100121201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75418110 + ... + 76864110.

It is an arithmetic number, because the mean of its divisors is an integer number (4187026039176).

Almost surely, 2^{110100121201110} is an apocalyptic number.

110100121201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110100121201110 is an abundant number, since it is smaller than the sum of its proper divisors (157869545306154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110100121201110 is a wasteful number, since it uses less digits than its factorization.

110100121201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481829.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110100121201110 its reverse (11102121001011), we get a palindrome (121202242202121).

The spelling of 110100121201110 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, one hundred ten".