1011110211020 has 288 divisors, whose sum is σ = 2720432332800. Its totient is φ = 307375326720.

The previous prime is 1011110210959. The next prime is 1011110211047. The reversal of 1011110211020 is 201120111101.

It is a junction number, because it is equal to n+sod(n) for n = 1011110210992 and 1011110211010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243111701 + ... + 243115859.

It is an arithmetic number, because the mean of its divisors is an integer number (9445945600).

Almost surely, 2^{1011110211020} is an apocalyptic number.

1011110211020 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 1011110211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360216166400).

1011110211020 is an abundant number, since it is smaller than the sum of its proper divisors (1709322121780).

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

1011110211020 is a wasteful number, since it uses less digits than its factorization.

1011110211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011110211020 its reverse (201120111101), we get a palindrome (1212230322121).

The spelling of 1011110211020 in words is "one trillion, eleven billion, one hundred ten million, two hundred eleven thousand, twenty".