1022310003121 has 12 divisors (see below), whose sum is σ = 1124724348916. Its totient is φ = 928522314720.

The previous prime is 1022310003017. The next prime is 1022310003149. The reversal of 1022310003121 is 1213000132201.

1022310003121 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 2 ways, for example, as 509888824225 + 512421178896 = 714065^2 + 715836^2 .

It is not a de Polignac number, because 1022310003121 - 2²⁵ = 1022276448689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022310003095 and 1022310003104.

It is not an unprimeable number, because it can be changed into a prime (1022310003181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3732726 + ... + 3997231.

Almost surely, 2^{1022310003121} is an apocalyptic number.

1022310003121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022310003121 is a deficient number, since it is larger than the sum of its proper divisors (102414345795).

1022310003121 is a wasteful number, since it uses less digits than its factorization.

1022310003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731072 (or 7731061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022310003121 its reverse (1213000132201), we get a palindrome (2235310135322).

The spelling of 1022310003121 in words is "one trillion, twenty-two billion, three hundred ten million, three thousand, one hundred twenty-one".