110321323123011 has 216 divisors, whose sum is σ = 209165445668592. Its totient is φ = 51471516096000.

The previous prime is 110321323123003. The next prime is 110321323123021.

110321323123011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110321323123011 - 2³ = 110321323123003 is a prime.

It is a super-2 number, since 2×110321323123011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110321323123021) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110726161 + ... + 111718061.

It is an arithmetic number, because the mean of its divisors is an integer number (968358544762).

Almost surely, 2^{110321323123011} is an apocalyptic number.

110321323123011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110321323123011 is a deficient number, since it is larger than the sum of its proper divisors (98844122545581).

110321323123011 is a wasteful number, since it uses less digits than its factorization.

110321323123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992003 (or 991972 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 110321323123011 in words is "one hundred ten trillion, three hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-three thousand, eleven".