100000111100401 has 2 divisors, whose sum is σ = 100000111100402. Its totient is φ = 100000111100400.

The previous prime is 100000111100363. The next prime is 100000111100411. The reversal of 100000111100401 is 104001111000001.

It is an a-pointer prime, because the next prime (100000111100411) can be obtained adding 100000111100401 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98241103072225 + 1759008028176 = 9911665^2 + 1326276^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000111100401 - 2²³ = 100000102711793 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000111100411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000055550200 + 50000055550201.

It is an arithmetic number, because the mean of its divisors is an integer number (50000055550201).

Almost surely, 2^{100000111100401} is an apocalyptic number.

It is an amenable number.

100000111100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000111100401 is an equidigital number, since it uses as much as digits as its factorization.

100000111100401 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 10.

Adding to 100000111100401 its reverse (104001111000001), we get a palindrome (204001222100402).

The spelling of 100000111100401 in words is "one hundred trillion, one hundred eleven million, one hundred thousand, four hundred one".