110102020000 has 180 divisors, whose sum is σ = 315093551850. Its totient is φ = 37748928000.

The previous prime is 110102019949. The next prime is 110102020003. The reversal of 110102020000 is 20201011.

It can be written as a sum of positive squares in 5 ways, for example, as 6976258576 + 103125761424 = 83524^2 + 321132^2 .

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 (110102020003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 923826 + ... + 1036174.

Almost surely, 2^110102020000 is an apocalyptic number.

110102020000 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 110102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157546775925).

110102020000 is an abundant number, since it is smaller than the sum of its proper divisors (204991531850).

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

110102020000 is an equidigital number, since it uses as much as digits as its factorization.

110102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112393 (or 112363 counting only the distinct ones).

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

Adding to 110102020000 its reverse (20201011), we get a palindrome (110122221011).

The spelling of 110102020000 in words is "one hundred ten billion, one hundred two million, twenty thousand".