110101102120 has 32 divisors (see below), whose sum is σ = 258498241920. Its totient is φ = 42125638720.

The previous prime is 110101102109. The next prime is 110101102159. The reversal of 110101102120 is 21201101011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110101102097 and 110101102106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59836636 + ... + 59838475.

It is an arithmetic number, because the mean of its divisors is an integer number (8078070060).

Almost surely, 2^110101102120 is an apocalyptic number.

110101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101102120 is an abundant number, since it is smaller than the sum of its proper divisors (148397139800).

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

110101102120 is a wasteful number, since it uses less digits than its factorization.

110101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119675145 (or 119675141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110101102120 its reverse (21201101011), we get a palindrome (131302203131).

The spelling of 110101102120 in words is "one hundred ten billion, one hundred one million, one hundred two thousand, one hundred twenty".