100021102000133 has 2 divisors, whose sum is σ = 100021102000134. Its totient is φ = 100021102000132.

The previous prime is 100021102000097. The next prime is 100021102000217. The reversal of 100021102000133 is 331000201120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53995705223329 + 46025396776804 = 7348177^2 + 6784202^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021102000133 - 2⁶ = 100021102000069 is a prime.

It is a super-2 number, since 2×100021102000133² (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 (100021102000333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010551000066 + 50010551000067.

It is an arithmetic number, because the mean of its divisors is an integer number (50010551000067).

Almost surely, 2^{100021102000133} is an apocalyptic number.

It is an amenable number.

100021102000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021102000133 is an equidigital number, since it uses as much as digits as its factorization.

100021102000133 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 14.

Adding to 100021102000133 its reverse (331000201120001), we get a palindrome (431021303120134).

The spelling of 100021102000133 in words is "one hundred trillion, twenty-one billion, one hundred two million, one hundred thirty-three", and thus it is an aban number.