1012122203121 has 28 divisors (see below), whose sum is σ = 1517942700148. Its totient is φ = 674546452704.

The previous prime is 1012122203093. The next prime is 1012122203123. The reversal of 1012122203121 is 1213022212101.

1012122203121 is a `hidden beast` number, since 10 + 121 + 2 + 220 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 619745243121 + 392376960000 = 787239^2 + 626400^2 .

It is not a de Polignac number, because 1012122203121 - 2¹¹ = 1012122201073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012122203094 and 1012122203103.

It is not an unprimeable number, because it can be changed into a prime (1012122203123) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2253111 + ... + 2664723.

It is an arithmetic number, because the mean of its divisors is an integer number (54212239291).

Almost surely, 2^{1012122203121} is an apocalyptic number.

It is an amenable number.

1012122203121 is a deficient number, since it is larger than the sum of its proper divisors (505820497027).

1012122203121 is an frugal number, since it uses more digits than its factorization.

1012122203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415004 (or 414989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012122203121 its reverse (1213022212101), we get a palindrome (2225144415222).

The spelling of 1012122203121 in words is "one trillion, twelve billion, one hundred twenty-two million, two hundred three thousand, one hundred twenty-one".