110001021200 has 180 divisors, whose sum is σ = 308549857572. Its totient is φ = 37576627200.

The previous prime is 110001021181. The next prime is 110001021203. The reversal of 110001021200 is 2120100011.

It can be written as a sum of positive squares in 6 ways, for example, as 41197632784 + 68803388416 = 202972^2 + 262304^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (110001021203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5419070 + ... + 5439330.

Almost surely, 2^110001021200 is an apocalyptic number.

110001021200 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 110001021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154274928786).

110001021200 is an abundant number, since it is smaller than the sum of its proper divisors (198548836372).

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

110001021200 is a wasteful number, since it uses less digits than its factorization.

110001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20570 (or 20552 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110001021200 its reverse (2120100011), we get a palindrome (112121121211).

The spelling of 110001021200 in words is "one hundred ten billion, one million, twenty-one thousand, two hundred".