110202010000000 has 256 divisors, whose sum is σ = 275611761228960. Its totient is φ = 43890688000000.

The previous prime is 110202009999971. The next prime is 110202010000057. The reversal of 110202010000000 is 10202011.

It can be written as a sum of positive squares in 16 ways, for example, as 95879660577856 + 14322349422144 = 9791816^2 + 3784488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329976352 + ... + 2330023648.

Almost surely, 2^{110202010000000} is an apocalyptic number.

110202010000000 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 110202010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137805880614480).

110202010000000 is an abundant number, since it is smaller than the sum of its proper divisors (165409751228960).

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

110202010000000 is an frugal number, since it uses more digits than its factorization.

110202010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47579 (or 47537 counting only the distinct ones).

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

Adding to 110202010000000 its reverse (10202011), we get a palindrome (110202020202011).

The spelling of 110202010000000 in words is "one hundred ten trillion, two hundred two billion, ten million", and thus it is an aban number.