100033300021 has 2 divisors, whose sum is σ = 100033300022. Its totient is φ = 100033300020.

The previous prime is 100033300009. The next prime is 100033300063. The reversal of 100033300021 is 120003330001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72274407921 + 27758892100 = 268839^2 + 166610^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033300021 - 2⁷ = 100033299893 is a prime.

It is a super-2 number, since 2×100033300021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100033299974 and 100033300010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100033300721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016650010 + 50016650011.

It is an arithmetic number, because the mean of its divisors is an integer number (50016650011).

Almost surely, 2^100033300021 is an apocalyptic number.

It is an amenable number.

100033300021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033300021 is an equidigital number, since it uses as much as digits as its factorization.

100033300021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100033300021 its reverse (120003330001), we get a palindrome (220036630022).

The spelling of 100033300021 in words is "one hundred billion, thirty-three million, three hundred thousand, twenty-one".