100011201022081 has 2 divisors, whose sum is σ = 100011201022082. Its totient is φ = 100011201022080.

The previous prime is 100011201022049. The next prime is 100011201022141. The reversal of 100011201022081 is 180220102110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99562160311056 + 449040711025 = 9978084^2 + 670105^2 .

It is an emirp because it is prime and its reverse (180220102110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100011201022081 - 2⁵ = 100011201022049 is a prime.

It is a super-2 number, since 2×100011201022081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100011201022981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005600511040 + 50005600511041.

It is an arithmetic number, because the mean of its divisors is an integer number (50005600511041).

Almost surely, 2^{100011201022081} is an apocalyptic number.

It is an amenable number.

100011201022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011201022081 is an equidigital number, since it uses as much as digits as its factorization.

100011201022081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100011201022081 its reverse (180220102110001), we get a palindrome (280231303132082).

The spelling of 100011201022081 in words is "one hundred trillion, eleven billion, two hundred one million, twenty-two thousand, eighty-one".