100000100010401 has 2 divisors, whose sum is σ = 100000100010402. Its totient is φ = 100000100010400.

The previous prime is 100000100010389. The next prime is 100000100010413. The reversal of 100000100010401 is 104010001000001.

It is a balanced prime because it is at equal distance from previous prime (100000100010389) and next prime (100000100010413).

It can be written as a sum of positive squares in only one way, i.e., 87146985915025 + 12853114095376 = 9335255^2 + 3585124^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100010401 - 2⁶ = 100000100010337 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000100010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050005200 + 50000050005201.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050005201).

Almost surely, 2^{100000100010401} is an apocalyptic number.

It is an amenable number.

100000100010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100010401 is an equidigital number, since it uses as much as digits as its factorization.

100000100010401 is an evil number, because the sum of its binary digits is even.

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

Adding to 100000100010401 its reverse (104010001000001), we get a palindrome (204010101010402).

The spelling of 100000100010401 in words is "one hundred trillion, one hundred million, ten thousand, four hundred one".