100400033110021 has 2 divisors, whose sum is σ = 100400033110022. Its totient is φ = 100400033110020.

The previous prime is 100400033109899. The next prime is 100400033110049. The reversal of 100400033110021 is 120011330004001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98775491679396 + 1624541430625 = 9938586^2 + 1274575^2 .

It is a cyclic number.

It is not a de Polignac number, because 100400033110021 - 2³¹ = 100397885626373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100400033109977 and 100400033110004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100400033110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200016555010 + 50200016555011.

It is an arithmetic number, because the mean of its divisors is an integer number (50200016555011).

Almost surely, 2^{100400033110021} is an apocalyptic number.

It is an amenable number.

100400033110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100400033110021 is an equidigital number, since it uses as much as digits as its factorization.

100400033110021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100400033110021 its reverse (120011330004001), we get a palindrome (220411363114022).

The spelling of 100400033110021 in words is "one hundred trillion, four hundred billion, thirty-three million, one hundred ten thousand, twenty-one".