100401113240101 has 8 divisors (see below), whose sum is σ = 106319625591384. Its totient is φ = 94483996945920.

The previous prime is 100401113240053. The next prime is 100401113240111. The reversal of 100401113240101 is 101042311104001.

It can be written as a sum of positive squares in 4 ways, for example, as 34724514348001 + 65676598892100 = 5892751^2 + 8104110^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100401113240101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401113240111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348866200 + ... + 349153873.

It is an arithmetic number, because the mean of its divisors is an integer number (13289953198923).

Almost surely, 2^{100401113240101} is an apocalyptic number.

It is an amenable number.

100401113240101 is a deficient number, since it is larger than the sum of its proper divisors (5918512351283).

100401113240101 is an equidigital number, since it uses as much as digits as its factorization.

100401113240101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698028551.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100401113240101 its reverse (101042311104001), we get a palindrome (201443424344102).

The spelling of 100401113240101 in words is "one hundred trillion, four hundred one billion, one hundred thirteen million, two hundred forty thousand, one hundred one".