100202212201033 has 2 divisors, whose sum is σ = 100202212201034. Its totient is φ = 100202212201032.

The previous prime is 100202212200989. The next prime is 100202212201037. The reversal of 100202212201033 is 330102212202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100055367661824 + 146844539209 = 10002768^2 + 383203^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202212201033 - 2⁹ = 100202212200521 is a prime.

It is a super-2 number, since 2×100202212201033² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100202212201033.

It is not a weakly prime, because it can be changed into another prime (100202212201037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101106100516 + 50101106100517.

It is an arithmetic number, because the mean of its divisors is an integer number (50101106100517).

Almost surely, 2^{100202212201033} is an apocalyptic number.

It is an amenable number.

100202212201033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202212201033 is an equidigital number, since it uses as much as digits as its factorization.

100202212201033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100202212201033 its reverse (330102212202001), we get a palindrome (430304424403034).

The spelling of 100202212201033 in words is "one hundred trillion, two hundred two billion, two hundred twelve million, two hundred one thousand, thirty-three".