10202121121033 has 2 divisors, whose sum is σ = 10202121121034. Its totient is φ = 10202121121032.

The previous prime is 10202121121007. The next prime is 10202121121039. The reversal of 10202121121033 is 33012112120201.

10202121121033 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., 8642612188224 + 1559508932809 = 2939832^2 + 1248803^2 .

It is an emirp because it is prime and its reverse (33012112120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202121121033 - 2⁵ = 10202121121001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10202121121033.

It is not a weakly prime, because it can be changed into another prime (10202121121039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101060560516 + 5101060560517.

It is an arithmetic number, because the mean of its divisors is an integer number (5101060560517).

Almost surely, 2^{10202121121033} is an apocalyptic number.

It is an amenable number.

10202121121033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202121121033 is an equidigital number, since it uses as much as digits as its factorization.

10202121121033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10202121121033 its reverse (33012112120201), we get a palindrome (43214233241234).

The spelling of 10202121121033 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, thirty-three".