1011352100000 has 288 divisors, whose sum is σ = 2874718631232. Its totient is φ = 346124800000.

The previous prime is 1011352099939. The next prime is 1011352100039. The reversal of 1011352100000 is 12531101.

It is a super-3 number, since 3×1011352100000³ (a number of 37 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 18672959 + ... + 18727041.

It is an arithmetic number, because the mean of its divisors is an integer number (9981661914).

Almost surely, 2^{1011352100000} is an apocalyptic number.

1011352100000 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 1011352100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437359315616).

1011352100000 is an abundant number, since it is smaller than the sum of its proper divisors (1863366531232).

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

1011352100000 is an equidigital number, since it uses as much as digits as its factorization.

1011352100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54146 (or 54118 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 1011352100000 its reverse (12531101), we get a palindrome (1011364631101).

The spelling of 1011352100000 in words is "one trillion, eleven billion, three hundred fifty-two million, one hundred thousand".