110002020100 has 144 divisors (see below), whose sum is σ = 279780842880. Its totient is φ = 36752716800.

The previous prime is 110002020047. The next prime is 110002020109. The reversal of 110002020100 is 1020200011.

110002020100 = T₃₅₃₆₉ + T₃₅₃₇₀ + ... + T₃₅₅₄₃.

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

It is not an unprimeable number, because it can be changed into a prime (110002020109) 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 47 ways as a sum of consecutive naturals, for example, 34065286 + ... + 34068514.

It is an arithmetic number, because the mean of its divisors is an integer number (1942922520).

Almost surely, 2^110002020100 is an apocalyptic number.

110002020100 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 110002020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139890421440).

110002020100 is an abundant number, since it is smaller than the sum of its proper divisors (169778822780).

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

110002020100 is a wasteful number, since it uses less digits than its factorization.

110002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4471 counting only the distinct ones).

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

Adding to 110002020100 its reverse (1020200011), we get a palindrome (111022220111).

The spelling of 110002020100 in words is "one hundred ten billion, two million, twenty thousand, one hundred".