100203101323153 has 2 divisors, whose sum is σ = 100203101323154. Its totient is φ = 100203101323152.

The previous prime is 100203101323103. The next prime is 100203101323201. The reversal of 100203101323153 is 351323101302001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83471009245009 + 16732092078144 = 9136247^2 + 4090488^2 .

It is a cyclic number.

It is not a de Polignac number, because 100203101323153 - 2¹⁷ = 100203101192081 is a prime.

It is a super-2 number, since 2×100203101323153² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100203101323103) 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, 50101550661576 + 50101550661577.

It is an arithmetic number, because the mean of its divisors is an integer number (50101550661577).

Almost surely, 2^{100203101323153} is an apocalyptic number.

It is an amenable number.

100203101323153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100203101323153 is an equidigital number, since it uses as much as digits as its factorization.

100203101323153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 100203101323153 its reverse (351323101302001), we get a palindrome (451526202625154).

The spelling of 100203101323153 in words is "one hundred trillion, two hundred three billion, one hundred one million, three hundred twenty-three thousand, one hundred fifty-three".