1011122020000 has 240 divisors, whose sum is σ = 2510539776360. Its totient is φ = 400725504000.

The previous prime is 1011122019937. The next prime is 1011122020087. The reversal of 1011122020000 is 202211101.

It can be written as a sum of positive squares in 20 ways, for example, as 324749537424 + 686372482576 = 569868^2 + 828476^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1268659602 + ... + 1268660398.

Almost surely, 2^{1011122020000} is an apocalyptic number.

1011122020000 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 1011122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255269888180).

1011122020000 is an abundant number, since it is smaller than the sum of its proper divisors (1499417756360).

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

1011122020000 is an equidigital number, since it uses as much as digits as its factorization.

1011122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011122020000 its reverse (202211101), we get a palindrome (1011324231101).

The spelling of 1011122020000 in words is "one trillion, eleven billion, one hundred twenty-two million, twenty thousand".