1000100033021 has 2 divisors, whose sum is σ = 1000100033022. Its totient is φ = 1000100033020.

The previous prime is 1000100032993. The next prime is 1000100033027. The reversal of 1000100033021 is 1203300010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 542771092900 + 457328940121 = 736730^2 + 676261^2 .

It is an emirp because it is prime and its reverse (1203300010001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000100033021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000100032993 and 1000100033011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100033027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050016510 + 500050016511.

It is an arithmetic number, because the mean of its divisors is an integer number (500050016511).

Almost surely, 2^{1000100033021} is an apocalyptic number.

It is an amenable number.

1000100033021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100033021 is an equidigital number, since it uses as much as digits as its factorization.

1000100033021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1000100033021 its reverse (1203300010001), we get a palindrome (2203400043022).

The spelling of 1000100033021 in words is "one trillion, one hundred million, thirty-three thousand, twenty-one".