100022011100003 has 2 divisors, whose sum is σ = 100022011100004. Its totient is φ = 100022011100002.

The previous prime is 100022011099973. The next prime is 100022011100021. The reversal of 100022011100003 is 300001110220001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100022011100003 - 2¹⁰ = 100022011098979 is a prime.

It is a super-3 number, since 3×100022011100003³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100022011102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011005550001 + 50011005550002.

It is an arithmetic number, because the mean of its divisors is an integer number (50011005550002).

Almost surely, 2^{100022011100003} is an apocalyptic number.

100022011100003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022011100003 is an equidigital number, since it uses as much as digits as its factorization.

100022011100003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100022011100003 its reverse (300001110220001), we get a palindrome (400023121320004).

The spelling of 100022011100003 in words is "one hundred trillion, twenty-two billion, eleven million, one hundred thousand, three".