101010000001033 has 2 divisors, whose sum is σ = 101010000001034. Its totient is φ = 101010000001032.

The previous prime is 101010000001007. The next prime is 101010000001049. The reversal of 101010000001033 is 330100000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100633259381769 + 376740619264 = 10031613^2 + 613792^2 .

It is an emirp because it is prime and its reverse (330100000010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010000001033 - 2⁴⁵ = 65825627912201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010000001433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000000516 + 50505000000517.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000000517).

Almost surely, 2^{101010000001033} is an apocalyptic number.

It is an amenable number.

101010000001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000001033 is an equidigital number, since it uses as much as digits as its factorization.

101010000001033 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 101010000001033 its reverse (330100000010101), we get a palindrome (431110000011134).

The spelling of 101010000001033 in words is "one hundred one trillion, ten billion, one thousand, thirty-three".