1011022011120 has 320 divisors, whose sum is σ = 3442337533440. Its totient is φ = 243435417600.

The previous prime is 1011022011113. The next prime is 1011022011127. The reversal of 1011022011120 is 211102201101.

It is an interprime number because it is at equal distance from previous prime (1011022011113) and next prime (1011022011127).

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 = 1011022011096 and 1011022011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011022011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282327730 + ... + 282331310.

It is an arithmetic number, because the mean of its divisors is an integer number (10757304792).

Almost surely, 2^{1011022011120} is an apocalyptic number.

1011022011120 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 1011022011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721168766720).

1011022011120 is an abundant number, since it is smaller than the sum of its proper divisors (2431315522320).

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

1011022011120 is a wasteful number, since it uses less digits than its factorization.

1011022011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011022011120 its reverse (211102201101), we get a palindrome (1222124212221).

The spelling of 1011022011120 in words is "one trillion, eleven billion, twenty-two million, eleven thousand, one hundred twenty".