101100202120033 has 2 divisors, whose sum is σ = 101100202120034. Its totient is φ = 101100202120032.

The previous prime is 101100202119989. The next prime is 101100202120081. The reversal of 101100202120033 is 330021202001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72306331975969 + 28793870144064 = 8503313^2 + 5365992^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100202120033 - 2³⁷ = 100962763166561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100202119989 and 101100202120016.

It is not a weakly prime, because it can be changed into another prime (101100202130033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550101060016 + 50550101060017.

It is an arithmetic number, because the mean of its divisors is an integer number (50550101060017).

Almost surely, 2^{101100202120033} is an apocalyptic number.

It is an amenable number.

101100202120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100202120033 is an equidigital number, since it uses as much as digits as its factorization.

101100202120033 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 101100202120033 its reverse (330021202001101), we get a palindrome (431121404121134).

The spelling of 101100202120033 in words is "one hundred one trillion, one hundred billion, two hundred two million, one hundred twenty thousand, thirty-three".