100106101033 has 2 divisors, whose sum is σ = 100106101034. Its totient is φ = 100106101032.

The previous prime is 100106100967. The next prime is 100106101093. The reversal of 100106101033 is 330101601001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75179059344 + 24927041689 = 274188^2 + 157883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100106101033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100106100998 and 100106101016.

It is not a weakly prime, because it can be changed into another prime (100106101093) 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, 50053050516 + 50053050517.

It is an arithmetic number, because the mean of its divisors is an integer number (50053050517).

Almost surely, 2^100106101033 is an apocalyptic number.

It is an amenable number.

100106101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106101033 is an equidigital number, since it uses as much as digits as its factorization.

100106101033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100106101033 its reverse (330101601001), we get a palindrome (430207702034).

The spelling of 100106101033 in words is "one hundred billion, one hundred six million, one hundred one thousand, thirty-three".