110002120020 has 72 divisors (see below), whose sum is σ = 359340266376. Its totient is φ = 27077444352.

The previous prime is 110002119989. The next prime is 110002120043. The reversal of 110002120020 is 20021200011.

It can be written as a sum of positive squares in 4 ways, for example, as 46212804 + 109955907216 = 6798^2 + 331596^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110002119984 and 110002120011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23502387 + ... + 23507066.

It is an arithmetic number, because the mean of its divisors is an integer number (4990837033).

Almost surely, 2^110002120020 is an apocalyptic number.

110002120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002120020 is an abundant number, since it is smaller than the sum of its proper divisors (249338146356).

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

110002120020 is a wasteful number, since it uses less digits than its factorization.

110002120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47009481 (or 47009476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110002120020 its reverse (20021200011), we get a palindrome (130023320031).

The spelling of 110002120020 in words is "one hundred ten billion, two million, one hundred twenty thousand, twenty".