10000001101033 has 2 divisors, whose sum is σ = 10000001101034. Its totient is φ = 10000001101032.

The previous prime is 10000001101009. The next prime is 10000001101043. The reversal of 10000001101033 is 33010110000001.

It is an a-pointer prime, because the next prime (10000001101043) can be obtained adding 10000001101033 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9180918180009 + 819082921024 = 3030003^2 + 905032^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001101033 - 2⁹ = 10000001100521 is a prime.

It is a super-2 number, since 2×10000001101033² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000001101043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000550516 + 5000000550517.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000550517).

Almost surely, 2^{10000001101033} is an apocalyptic number.

It is an amenable number.

10000001101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001101033 is an equidigital number, since it uses as much as digits as its factorization.

10000001101033 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 10000001101033 its reverse (33010110000001), we get a palindrome (43010111101034).

The spelling of 10000001101033 in words is "ten trillion, one million, one hundred one thousand, thirty-three".