100022010201133 has 2 divisors, whose sum is σ = 100022010201134. Its totient is φ = 100022010201132.

The previous prime is 100022010201101. The next prime is 100022010201149. The reversal of 100022010201133 is 331102010220001.

It is an a-pointer prime, because the next prime (100022010201149) can be obtained adding 100022010201133 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53197578306889 + 46824431894244 = 7293667^2 + 6842838^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022010201133 - 2⁵ = 100022010201101 is a prime.

It is a super-2 number, since 2×100022010201133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022010201173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011005100566 + 50011005100567.

It is an arithmetic number, because the mean of its divisors is an integer number (50011005100567).

Almost surely, 2^{100022010201133} is an apocalyptic number.

It is an amenable number.

100022010201133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022010201133 is an equidigital number, since it uses as much as digits as its factorization.

100022010201133 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 100022010201133 its reverse (331102010220001), we get a palindrome (431124020421134).

The spelling of 100022010201133 in words is "one hundred trillion, twenty-two billion, ten million, two hundred one thousand, one hundred thirty-three".