101003032321 has 2 divisors, whose sum is σ = 101003032322. Its totient is φ = 101003032320.

The previous prime is 101003032283. The next prime is 101003032337. The reversal of 101003032321 is 123230300101.

It is an a-pointer prime, because the next prime (101003032337) can be obtained adding 101003032321 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94528577025 + 6474455296 = 307455^2 + 80464^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003032321 - 2¹⁵ = 101002999553 is a prime.

It is a super-2 number, since 2×101003032321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101003032295 and 101003032304.

It is not a weakly prime, because it can be changed into another prime (101003032621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501516160 + 50501516161.

It is an arithmetic number, because the mean of its divisors is an integer number (50501516161).

Almost surely, 2^101003032321 is an apocalyptic number.

It is an amenable number.

101003032321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003032321 is an equidigital number, since it uses as much as digits as its factorization.

101003032321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101003032321 its reverse (123230300101), we get a palindrome (224233332422).

The spelling of 101003032321 in words is "one hundred one billion, three million, thirty-two thousand, three hundred twenty-one".