10022001101033 has 2 divisors, whose sum is σ = 10022001101034. Its totient is φ = 10022001101032.

The previous prime is 10022001100987. The next prime is 10022001101071. The reversal of 10022001101033 is 33010110022001.

10022001101033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9977998487209 + 44002613824 = 3158797^2 + 209768^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022001101033 - 2²⁰ = 10022000052457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022001100999 and 10022001101017.

It is not a weakly prime, because it can be changed into another prime (10022001101633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011000550516 + 5011000550517.

It is an arithmetic number, because the mean of its divisors is an integer number (5011000550517).

Almost surely, 2^{10022001101033} is an apocalyptic number.

It is an amenable number.

10022001101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022001101033 is an equidigital number, since it uses as much as digits as its factorization.

10022001101033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10022001101033 its reverse (33010110022001), we get a palindrome (43032111123034).

The spelling of 10022001101033 in words is "ten trillion, twenty-two billion, one million, one hundred one thousand, thirty-three".