1011221121120 has 192 divisors, whose sum is σ = 3854537197056. Its totient is φ = 217539993600.

The previous prime is 1011221121107. The next prime is 1011221121173. The reversal of 1011221121120 is 211211221101.

It is a happy number.

1011221121120 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011221121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8794606 + ... + 8908845.

It is an arithmetic number, because the mean of its divisors is an integer number (20075714568).

Almost surely, 2^{1011221121120} is an apocalyptic number.

1011221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011221121120 is an abundant number, since it is smaller than the sum of its proper divisors (2843316075936).

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

1011221121120 is a wasteful number, since it uses less digits than its factorization.

1011221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17703493 (or 17703485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1011221121120 its reverse (211211221101), we get a palindrome (1222432342221).

The spelling of 1011221121120 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".