100220000010133 has 2 divisors, whose sum is σ = 100220000010134. Its totient is φ = 100220000010132.

The previous prime is 100220000010071. The next prime is 100220000010173. The reversal of 100220000010133 is 331010000022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94366808490564 + 5853191519569 = 9714258^2 + 2419337^2 .

It is an emirp because it is prime and its reverse (331010000022001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220000010133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220000010173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110000005066 + 50110000005067.

It is an arithmetic number, because the mean of its divisors is an integer number (50110000005067).

Almost surely, 2^{100220000010133} is an apocalyptic number.

It is an amenable number.

100220000010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220000010133 is an equidigital number, since it uses as much as digits as its factorization.

100220000010133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100220000010133 its reverse (331010000022001), we get a palindrome (431230000032134).

The spelling of 100220000010133 in words is "one hundred trillion, two hundred twenty billion, ten thousand, one hundred thirty-three".