110002010020 has 144 divisors (see below), whose sum is σ = 270794264832. Its totient is φ = 37425024000.

The previous prime is 110002010017. The next prime is 110002010033. The reversal of 110002010020 is 20010200011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 110002009985 and 110002010012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82894597 + ... + 82895923.

It is an arithmetic number, because the mean of its divisors is an integer number (1880515728).

Almost surely, 2^110002010020 is an apocalyptic number.

110002010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135397132416).

110002010020 is an abundant number, since it is smaller than the sum of its proper divisors (160792254812).

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

110002010020 is a wasteful number, since it uses less digits than its factorization.

110002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 110002010020 its reverse (20010200011), we get a palindrome (130012210031).

The spelling of 110002010020 in words is "one hundred ten billion, two million, ten thousand, twenty".