100112102002001 has 2 divisors, whose sum is σ = 100112102002002. Its totient is φ = 100112102002000.

The previous prime is 100112102001983. The next prime is 100112102002021. The reversal of 100112102002001 is 100200201211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85742877465025 + 14369224536976 = 9259745^2 + 3790676^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112102002001 - 2³⁴ = 100094922132817 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112102002021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056051001000 + 50056051001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50056051001001).

Almost surely, 2^{100112102002001} is an apocalyptic number.

It is an amenable number.

100112102002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112102002001 is an equidigital number, since it uses as much as digits as its factorization.

100112102002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112102002001 its reverse (100200201211001), we get a palindrome (200312303213002).

The spelling of 100112102002001 in words is "one hundred trillion, one hundred twelve billion, one hundred two million, two thousand, one".