1031221103121 has 48 divisors (see below), whose sum is σ = 1657051276608. Its totient is φ = 612758016000.

The previous prime is 1031221103093. The next prime is 1031221103137. The reversal of 1031221103121 is 1213011221301.

1031221103121 is a `hidden beast` number, since 10 + 312 + 21 + 10 + 312 + 1 = 666.

It is not a de Polignac number, because 1031221103121 - 2¹⁰ = 1031221102097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031221103094 and 1031221103103.

It is not an unprimeable number, because it can be changed into a prime (1031221101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525721 + ... + 1529321.

It is an arithmetic number, because the mean of its divisors is an integer number (34521901596).

Almost surely, 2^{1031221103121} is an apocalyptic number.

1031221103121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031221103121 is a deficient number, since it is larger than the sum of its proper divisors (625830173487).

1031221103121 is a wasteful number, since it uses less digits than its factorization.

1031221103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003822 (or 1003819 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1031221103121 its reverse (1213011221301), we get a palindrome (2244232324422).

The spelling of 1031221103121 in words is "one trillion, thirty-one billion, two hundred twenty-one million, one hundred three thousand, one hundred twenty-one".