110100210100000 has 288 divisors, whose sum is σ = 285553754015040. Its totient is φ = 41669262720000.

The previous prime is 110100210099959. The next prime is 110100210100021. The reversal of 110100210100000 is 1012001011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1514263647 + ... + 1514336353.

It is an arithmetic number, because the mean of its divisors is an integer number (991506090330).

Almost surely, 2^{110100210100000} is an apocalyptic number.

110100210100000 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 110100210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142776877007520).

110100210100000 is an abundant number, since it is smaller than the sum of its proper divisors (175453543915040).

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

110100210100000 is an frugal number, since it uses more digits than its factorization.

110100210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73558 (or 73530 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110100210100000 its reverse (1012001011), we get a palindrome (110101222101011).

The spelling of 110100210100000 in words is "one hundred ten trillion, one hundred billion, two hundred ten million, one hundred thousand".