1000220122121 has 12 divisors (see below), whose sum is σ = 1101049199796. Its totient is φ = 907939845120.

The previous prime is 1000220122117. The next prime is 1000220122123. The reversal of 1000220122121 is 1212210220001.

It can be written as a sum of positive squares in 2 ways, for example, as 500646814096 + 499573308025 = 707564^2 + 706805^2 .

It is not a de Polignac number, because 1000220122121 - 2² = 1000220122117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000220122096 and 1000220122105.

It is not an unprimeable number, because it can be changed into a prime (1000220122123) 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 11 ways as a sum of consecutive naturals, for example, 6059936 + ... + 6222801.

It is an arithmetic number, because the mean of its divisors is an integer number (91754099983).

Almost surely, 2^{1000220122121} is an apocalyptic number.

1000220122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000220122121 is a deficient number, since it is larger than the sum of its proper divisors (100829077675).

1000220122121 is a wasteful number, since it uses less digits than its factorization.

1000220122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283432 (or 12283421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000220122121 its reverse (1212210220001), we get a palindrome (2212430342122).

The spelling of 1000220122121 in words is "one trillion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".