110101132220123 has 32 divisors (see below), whose sum is σ = 133801751273472. Its totient is φ = 90108343079040.

The previous prime is 110101132220071. The next prime is 110101132220171. The reversal of 110101132220123 is 321022231101011.

It is not a de Polignac number, because 110101132220123 - 2²⁴ = 110101115442907 is a prime.

It is a super-2 number, since 2×110101132220123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101132220095 and 110101132220104.

It is not an unprimeable number, because it can be changed into a prime (110101132220173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105260411 + ... + 106301252.

It is an arithmetic number, because the mean of its divisors is an integer number (4181304727296).

Almost surely, 2^{110101132220123} is an apocalyptic number.

110101132220123 is a deficient number, since it is larger than the sum of its proper divisors (23700619053349).

110101132220123 is a wasteful number, since it uses less digits than its factorization.

110101132220123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211561736 (or 211561714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 110101132220123 its reverse (321022231101011), we get a palindrome (431123363321134).

The spelling of 110101132220123 in words is "one hundred ten trillion, one hundred one billion, one hundred thirty-two million, two hundred twenty thousand, one hundred twenty-three".