1011011200000 has 264 divisors, whose sum is σ = 2540772083304. Its totient is φ = 402063360000.

The previous prime is 1011011199967. The next prime is 1011011200021. The reversal of 1011011200000 is 21101101.

It can be written as a sum of positive squares in 12 ways, for example, as 855787807744 + 155223392256 = 925088^2 + 393984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617599182 + ... + 617600818.

Almost surely, 2^{1011011200000} is an apocalyptic number.

1011011200000 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 1011011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270386041652).

1011011200000 is an abundant number, since it is smaller than the sum of its proper divisors (1529760883304).

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

1011011200000 is an frugal number, since it uses more digits than its factorization.

1011011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1837 counting only the distinct ones).

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

Adding to 1011011200000 its reverse (21101101), we get a palindrome (1011032301101).

The spelling of 1011011200000 in words is "one trillion, eleven billion, eleven million, two hundred thousand".