100100101033 has 2 divisors, whose sum is σ = 100100101034. Its totient is φ = 100100101032.

The previous prime is 100100101021. The next prime is 100100101051. The reversal of 100100101033 is 330101001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74424204864 + 25675896169 = 272808^2 + 160237^2 .

It is an emirp because it is prime and its reverse (330101001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100101033 - 2²⁹ = 99563230121 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100101433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050516 + 50050050517.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050517).

Almost surely, 2^100100101033 is an apocalyptic number.

It is an amenable number.

100100101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100101033 is an equidigital number, since it uses as much as digits as its factorization.

100100101033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100100101033 its reverse (330101001001), we get a palindrome (430201102034).

The spelling of 100100101033 in words is "one hundred billion, one hundred million, one hundred one thousand, thirty-three".