1021011121120 has 48 divisors (see below), whose sum is σ = 2412456041520. Its totient is φ = 408350731264.

The previous prime is 1021011121103. The next prime is 1021011121129. The reversal of 1021011121120 is 211211101201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021011121120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021011121129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 811851 + ... + 1643509.

It is an arithmetic number, because the mean of its divisors is an integer number (50259500865).

Almost surely, 2^{1021011121120} is an apocalyptic number.

1021011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021011121120 is an abundant number, since it is smaller than the sum of its proper divisors (1391444920400).

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

1021011121120 is an equidigital number, since it uses as much as digits as its factorization.

1021011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839347 (or 839339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1021011121120 its reverse (211211101201), we get a palindrome (1232222222321).

It can be divided in two parts, 102101 and 1121120, that added together give a palindrome (1223221).

The spelling of 1021011121120 in words is "one trillion, twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty".