1000110103200 has 432 divisors, whose sum is σ = 3849970695480. Its totient is φ = 242806947840.

The previous prime is 1000110103189. The next prime is 1000110103229. The reversal of 1000110103200 is 23010110001.

It can be written as a sum of positive squares in 12 ways, for example, as 16942666896 + 983167436304 = 130164^2 + 991548^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6759616 + ... + 6905984.

Almost surely, 2^{1000110103200} is an apocalyptic number.

1000110103200 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 1000110103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924985347740).

1000110103200 is an abundant number, since it is smaller than the sum of its proper divisors (2849860592280).

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

1000110103200 is a wasteful number, since it uses less digits than its factorization.

1000110103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146481 (or 146465 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000110103200 its reverse (23010110001), we get a palindrome (1023120213201).

The spelling of 1000110103200 in words is "one trillion, one hundred ten million, one hundred three thousand, two hundred".