20111110210000 has 100 divisors (see below), whose sum is σ = 48696492987252. Its totient is φ = 8043538048000.

The previous prime is 20111110209989. The next prime is 20111110210039. The reversal of 20111110210000 is 1201111102.

It can be written as a sum of positive squares in 10 ways, for example, as 19742666065984 + 368444144016 = 4443272^2 + 606996^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 92461374 + ... + 92678626.

Almost surely, 2^{20111110210000} is an apocalyptic number.

20111110210000 is a gapful number since it is divisible by the number (20) 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 20111110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348246493626).

20111110210000 is an abundant number, since it is smaller than the sum of its proper divisors (28585382777252).

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

20111110210000 is an equidigital number, since it uses as much as digits as its factorization.

20111110210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226538 (or 226517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20111110210000 its reverse (1201111102), we get a palindrome (20112311321102).

It can be divided in two parts, 201111102 and 10000, that added together give a palindrome (201121102).

The spelling of 20111110210000 in words is "twenty trillion, one hundred eleven billion, one hundred ten million, two hundred ten thousand".