110130133200210 has 128 divisors (see below), whose sum is σ = 297406621209600. Its totient is φ = 28995430913280.

The previous prime is 110130133200193. The next prime is 110130133200229. The reversal of 110130133200210 is 12002331031011.

110130133200210 is a `hidden beast` number, since 1 + 1 + 0 + 130 + 1 + 3 + 320 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078841692 + ... + 1078943768.

It is an arithmetic number, because the mean of its divisors is an integer number (2323489228200).

Almost surely, 2^{110130133200210} is an apocalyptic number.

110130133200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110130133200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148703310604800).

110130133200210 is an abundant number, since it is smaller than the sum of its proper divisors (187276488009390).

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

110130133200210 is a wasteful number, since it uses less digits than its factorization.

110130133200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152753 (or 152747 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110130133200210 its reverse (12002331031011), we get a palindrome (122132464231221).

The spelling of 110130133200210 in words is "one hundred ten trillion, one hundred thirty billion, one hundred thirty-three million, two hundred thousand, two hundred ten".