1001123013221 has 16 divisors (see below), whose sum is σ = 1102991883264. Its totient is φ = 904786132224.

The previous prime is 1001123013139. The next prime is 1001123013277. The reversal of 1001123013221 is 1223103211001.

1001123013221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001123013221 - 2¹⁸ = 1001122751077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001123013221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001123010221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11778125 + ... + 11862818.

It is an arithmetic number, because the mean of its divisors is an integer number (68936992704).

Almost surely, 2^{1001123013221} is an apocalyptic number.

It is an amenable number.

1001123013221 is a deficient number, since it is larger than the sum of its proper divisors (101868870043).

1001123013221 is a wasteful number, since it uses less digits than its factorization.

1001123013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23641060.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001123013221 its reverse (1223103211001), we get a palindrome (2224226224222).

The spelling of 1001123013221 in words is "one trillion, one billion, one hundred twenty-three million, thirteen thousand, two hundred twenty-one".