100120102301981 has 2 divisors, whose sum is σ = 100120102301982. Its totient is φ = 100120102301980.

The previous prime is 100120102301971. The next prime is 100120102302001. The reversal of 100120102301981 is 189103201021001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94765182337081 + 5354919964900 = 9734741^2 + 2314070^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120102301981 - 2¹⁰ = 100120102300957 is a prime.

It is a super-2 number, since 2×100120102301981² (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 (100120102301971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060051150990 + 50060051150991.

It is an arithmetic number, because the mean of its divisors is an integer number (50060051150991).

Almost surely, 2^{100120102301981} is an apocalyptic number.

It is an amenable number.

100120102301981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120102301981 is an equidigital number, since it uses as much as digits as its factorization.

100120102301981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

Adding to 100120102301981 its reverse (189103201021001), we get a palindrome (289223303322982).

The spelling of 100120102301981 in words is "one hundred trillion, one hundred twenty billion, one hundred two million, three hundred one thousand, nine hundred eighty-one".