100120102001 has 2 divisors, whose sum is σ = 100120102002. Its totient is φ = 100120102000.

The previous prime is 100120101997. The next prime is 100120102009. The reversal of 100120102001 is 100201021001.

It is an a-pointer prime, because the next prime (100120102009) can be obtained adding 100120102001 to its sum of digits (8).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56263365601 + 43856736400 = 237199^2 + 209420^2 .

It is an emirp because it is prime and its reverse (100201021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120102001 - 2² = 100120101997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120102001.

It is not a weakly prime, because it can be changed into another prime (100120102009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060051000 + 50060051001.

It is an arithmetic number, because the mean of its divisors is an integer number (50060051001).

Almost surely, 2^100120102001 is an apocalyptic number.

It is an amenable number.

100120102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120102001 is an equidigital number, since it uses as much as digits as its factorization.

100120102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100120102001 its reverse (100201021001), we get a palindrome (200321123002).

The spelling of 100120102001 in words is "one hundred billion, one hundred twenty million, one hundred two thousand, one".