1000122333121 has 8 divisors (see below), whose sum is σ = 1002095996904. Its totient is φ = 998148877440.

The previous prime is 1000122333113. The next prime is 1000122333163. The reversal of 1000122333121 is 1213332210001.

It can be written as a sum of positive squares in 4 ways, for example, as 14917202496 + 985205130625 = 122136^2 + 992575^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000122333121 - 2³ = 1000122333113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000122333521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12566971 + ... + 12646303.

It is an arithmetic number, because the mean of its divisors is an integer number (125261999613).

Almost surely, 2^{1000122333121} is an apocalyptic number.

It is an amenable number.

1000122333121 is a deficient number, since it is larger than the sum of its proper divisors (1973663783).

1000122333121 is an equidigital number, since it uses as much as digits as its factorization.

1000122333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104051.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1000122333121 its reverse (1213332210001), we get a palindrome (2213454543122).

The spelling of 1000122333121 in words is "one trillion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty-one".