10201012102033 has 2 divisors, whose sum is σ = 10201012102034. Its totient is φ = 10201012102032.

The previous prime is 10201012102003. The next prime is 10201012102037. The reversal of 10201012102033 is 33020121010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8953841336209 + 1247170765824 = 2992297^2 + 1116768^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201012102033 - 2²⁵ = 10200978547601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201012101998 and 10201012102016.

It is not a weakly prime, because it can be changed into another prime (10201012102037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100506051016 + 5100506051017.

It is an arithmetic number, because the mean of its divisors is an integer number (5100506051017).

Almost surely, 2^{10201012102033} is an apocalyptic number.

It is an amenable number.

10201012102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201012102033 is an equidigital number, since it uses as much as digits as its factorization.

10201012102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10201012102033 its reverse (33020121010201), we get a palindrome (43221133112234).

The spelling of 10201012102033 in words is "ten trillion, two hundred one billion, twelve million, one hundred two thousand, thirty-three".