1011121101120 has 224 divisors, whose sum is σ = 3501022533120. Its totient is φ = 245740584960.

The previous prime is 1011121101113. The next prime is 1011121101209. The reversal of 1011121101120 is 211011211101.

It is a super-2 number, since 2×1011121101120² (a number of 25 digits) contains 22 as substring.

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 = 1011121101096 and 1011121101105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 473140 + ... + 1498700.

It is an arithmetic number, because the mean of its divisors is an integer number (15629564880).

Almost surely, 2^{1011121101120} is an apocalyptic number.

1011121101120 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 1011121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750511266560).

1011121101120 is an abundant number, since it is smaller than the sum of its proper divisors (2489901432000).

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

1011121101120 is a wasteful number, since it uses less digits than its factorization.

1011121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025673 (or 1025663 counting only the distinct ones).

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

Adding to 1011121101120 its reverse (211011211101), we get a palindrome (1222132312221).

The spelling of 1011121101120 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".