1011011121000 has 192 divisors, whose sum is σ = 3427367982480. Its totient is φ = 268802150400.

The previous prime is 1011011120971. The next prime is 1011011121007. The reversal of 1011011121000 is 1211101101.

It can be written as a sum of positive squares in 8 ways, for example, as 153809604 + 1010857311396 = 12402^2 + 1005414^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1011011121007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2866332 + ... + 3199668.

Almost surely, 2^{1011011121000} is an apocalyptic number.

1011011121000 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 1011011121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713683991240).

1011011121000 is an abundant number, since it is smaller than the sum of its proper divisors (2416356861480).

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

1011011121000 is a wasteful number, since it uses less digits than its factorization.

1011011121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333701 (or 333684 counting only the distinct ones).

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

Adding to 1011011121000 its reverse (1211101101), we get a palindrome (1012222222101).

The spelling of 1011011121000 in words is "one trillion, eleven billion, eleven million, one hundred twenty-one thousand".