100401130401 has 48 divisors (see below), whose sum is σ = 158234694912. Its totient is φ = 56133355200.

The previous prime is 100401130391. The next prime is 100401130409. The reversal of 100401130401 is 104031104001.

It is not a de Polignac number, because 100401130401 - 2¹¹ = 100401128353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100401130409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10764526 + ... + 10773848.

It is an arithmetic number, because the mean of its divisors is an integer number (3296556144).

Almost surely, 2^100401130401 is an apocalyptic number.

100401130401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100401130401 is a deficient number, since it is larger than the sum of its proper divisors (57833564511).

100401130401 is a wasteful number, since it uses less digits than its factorization.

100401130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11294 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100401130401 its reverse (104031104001), we get a palindrome (204432234402).

The spelling of 100401130401 in words is "one hundred billion, four hundred one million, one hundred thirty thousand, four hundred one".