1011221100120 has 256 divisors, whose sum is σ = 3846337228800. Its totient is φ = 206562332160.

The previous prime is 1011221100119. The next prime is 1011221100203. The reversal of 1011221100120 is 210011221101.

It is a super-2 number, since 2×1011221100120² (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 = 1011221100096 and 1011221100105.

It is a congruent number.

It is an unprimeable number.

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, 382294 + ... + 1472613.

It is an arithmetic number, because the mean of its divisors is an integer number (15024754800).

Almost surely, 2^{1011221100120} is an apocalyptic number.

1011221100120 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 1011221100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923168614400).

1011221100120 is an abundant number, since it is smaller than the sum of its proper divisors (2835116128680).

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

1011221100120 is a wasteful number, since it uses less digits than its factorization.

1011221100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854998 (or 1854994 counting only the distinct ones).

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

Adding to 1011221100120 its reverse (210011221101), we get a palindrome (1221232321221).

The spelling of 1011221100120 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".