1001233003221 has 128 divisors (see below), whose sum is σ = 1757908500480. Its totient is φ = 556328908800.

The previous prime is 1001233003219. The next prime is 1001233003223. The reversal of 1001233003221 is 1223003321001.

1001233003221 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 330 + 0 + 322 + 1 = 666.

1001233003221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001233003219) and next prime (1001233003223).

It is not a de Polignac number, because 1001233003221 - 2¹ = 1001233003219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001233003194 and 1001233003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001233003223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83145961 + ... + 83158001.

It is an arithmetic number, because the mean of its divisors is an integer number (13733660160).

Almost surely, 2^{1001233003221} is an apocalyptic number.

1001233003221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001233003221 is a deficient number, since it is larger than the sum of its proper divisors (756675497259).

1001233003221 is a wasteful number, since it uses less digits than its factorization.

1001233003221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001233003221 its reverse (1223003321001), we get a palindrome (2224236324222).

It can be divided in two parts, 100 and 1233003221, that added together give a palindrome (1233003321).

The spelling of 1001233003221 in words is "one trillion, one billion, two hundred thirty-three million, three thousand, two hundred twenty-one".