110120211121219 has 16 divisors (see below), whose sum is σ = 118719173506752. Its totient is φ = 101539578526848.

The previous prime is 110120211121183. The next prime is 110120211121229. The reversal of 110120211121219 is 912121112021011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110120211121219 is a prime.

It is a super-2 number, since 2×110120211121219² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110120211121193 and 110120211121202.

It is not an unprimeable number, because it can be changed into a prime (110120211121229) 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 in 15 ways as a sum of consecutive naturals, for example, 142326642 + ... + 143098264.

It is an arithmetic number, because the mean of its divisors is an integer number (7419948344172).

Almost surely, 2^{110120211121219} is an apocalyptic number.

110120211121219 is a deficient number, since it is larger than the sum of its proper divisors (8598962385533).

110120211121219 is a wasteful number, since it uses less digits than its factorization.

110120211121219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783486.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 110120211121219 in words is "one hundred ten trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, two hundred nineteen".