1811100100000 has 288 divisors, whose sum is σ = 4808153477232. Its totient is φ = 668928000000.

The previous prime is 1811100099973. The next prime is 1811100100021. The reversal of 1811100100000 is 10011181.

It can be written as a sum of positive squares in 24 ways, for example, as 1218083054224 + 593017045776 = 1103668^2 + 770076^2 .

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, 90089950 + ... + 90110050.

Almost surely, 2^{1811100100000} is an apocalyptic number.

1811100100000 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 1811100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404076738616).

1811100100000 is an abundant number, since it is smaller than the sum of its proper divisors (2997053377232).

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

1811100100000 is an equidigital number, since it uses as much as digits as its factorization.

1811100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20206 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1811100100000 its reverse (10011181), we get a palindrome (1811110111181).

The spelling of 1811100100000 in words is "one trillion, eight hundred eleven billion, one hundred million, one hundred thousand".