1011121011120 has 320 divisors, whose sum is σ = 3462649233408. Its totient is φ = 242035200000.

The previous prime is 1011121011101. The next prime is 1011121011133. The reversal of 1011121011120 is 211101211101.

1011121011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011121011096 and 1011121011105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102118170 + ... + 102128070.

Almost surely, 2^{1011121011120} is an apocalyptic number.

1011121011120 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 1011121011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731324616704).

1011121011120 is an abundant number, since it is smaller than the sum of its proper divisors (2451528222288).

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

1011121011120 is a wasteful number, since it uses less digits than its factorization.

1011121011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1011121011120 its reverse (211101211101), we get a palindrome (1222222222221).

The spelling of 1011121011120 in words is "one trillion, eleven billion, one hundred twenty-one million, eleven thousand, one hundred twenty".