11100020111010 has 384 divisors, whose sum is σ = 31171798944000. Its totient is φ = 2732247023616.

The previous prime is 11100020111003. The next prime is 11100020111021. The reversal of 11100020111010 is 1011102000111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100020110983 and 11100020111001.

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 191 ways as a sum of consecutive naturals, for example, 3201619297 + ... + 3201622763.

It is an arithmetic number, because the mean of its divisors is an integer number (81176559750).

Almost surely, 2^{11100020111010} is an apocalyptic number.

11100020111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100020111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585899472000).

11100020111010 is an abundant number, since it is smaller than the sum of its proper divisors (20071778832990).

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

11100020111010 is a wasteful number, since it uses less digits than its factorization.

11100020111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11100020111010 its reverse (1011102000111), we get a palindrome (12111122111121).

The spelling of 11100020111010 in words is "eleven trillion, one hundred billion, twenty million, one hundred eleven thousand, ten".