10001010100033 has 2 divisors, whose sum is σ = 10001010100034. Its totient is φ = 10001010100032.

The previous prime is 10001010099943. The next prime is 10001010100079. The reversal of 10001010100033 is 33000101010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8436166722064 + 1564843377969 = 2904508^2 + 1250937^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010100033 - 2¹³ = 10001010091841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001010099992 and 10001010100019.

It is not a weakly prime, because it can be changed into another prime (10001010100633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505050016 + 5000505050017.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505050017).

Almost surely, 2^{10001010100033} is an apocalyptic number.

It is an amenable number.

10001010100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010100033 is an equidigital number, since it uses as much as digits as its factorization.

10001010100033 is an evil number, because the sum of its binary digits is even.

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

Adding to 10001010100033 its reverse (33000101010001), we get a palindrome (43001111110034).

The spelling of 10001010100033 in words is "ten trillion, one billion, ten million, one hundred thousand, thirty-three".