100101412401 has 16 divisors (see below), whose sum is σ = 133958697600. Its totient is φ = 66489579648.

The previous prime is 100101412381. The next prime is 100101412469. The reversal of 100101412401 is 104214101001.

It is not a de Polignac number, because 100101412401 - 2¹⁸ = 100101150257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101412601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025805 + ... + 1119141.

It is an arithmetic number, because the mean of its divisors is an integer number (8372418600).

Almost surely, 2^100101412401 is an apocalyptic number.

It is an amenable number.

100101412401 is a deficient number, since it is larger than the sum of its proper divisors (33857285199).

100101412401 is an equidigital number, since it uses as much as digits as its factorization.

100101412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94648.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100101412401 its reverse (104214101001), we get a palindrome (204315513402).

The spelling of 100101412401 in words is "one hundred billion, one hundred one million, four hundred twelve thousand, four hundred one".