1001122123221 has 12 divisors (see below), whose sum is σ = 1577525770080. Its totient is φ = 606740680680.

The previous prime is 1001122123171. The next prime is 1001122123277. The reversal of 1001122123221 is 1223212211001.

It is not a de Polignac number, because 1001122123221 - 2¹⁰ = 1001122122197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001122123194 and 1001122123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122123721) 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, 5056172241 + ... + 5056172438.

It is an arithmetic number, because the mean of its divisors is an integer number (131460480840).

Almost surely, 2^{1001122123221} is an apocalyptic number.

1001122123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001122123221 is a deficient number, since it is larger than the sum of its proper divisors (576403646859).

1001122123221 is a wasteful number, since it uses less digits than its factorization.

1001122123221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112344696 (or 10112344693 counting only the distinct ones).

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

Adding to 1001122123221 its reverse (1223212211001), we get a palindrome (2224334334222).

The spelling of 1001122123221 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty-one".