1011121120321 has 10 divisors (see below), whose sum is σ = 1095378294442. Its totient is φ = 933342546240.

The previous prime is 1011121120307. The next prime is 1011121120351. The reversal of 1011121120321 is 1230211211101.

It is a happy number.

1011121120321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1006861730625 + 4259389696 = 1003425^2 + 65264^2 .

It is not a de Polignac number, because 1011121120321 - 2⁹ = 1011121119809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011121120295 and 1011121120304.

It is not an unprimeable number, because it can be changed into a prime (1011121120351) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17672520 + ... + 17729641.

Almost surely, 2^{1011121120321} is an apocalyptic number.

It is an amenable number.

1011121120321 is a deficient number, since it is larger than the sum of its proper divisors (84257174121).

1011121120321 is an frugal number, since it uses more digits than its factorization.

1011121120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35402213 (or 35402174 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1011121120321 its reverse (1230211211101), we get a palindrome (2241332331422).

The spelling of 1011121120321 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, three hundred twenty-one".