100110013301 has 16 divisors (see below), whose sum is σ = 104718324480. Its totient is φ = 95631814080.

The previous prime is 100110013261. The next prime is 100110013309. The reversal of 100110013301 is 103310011001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110013301 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 (100110013309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197411 + ... + 489071.

It is an arithmetic number, because the mean of its divisors is an integer number (6544895280).

Almost surely, 2^100110013301 is an apocalyptic number.

It is an amenable number.

100110013301 is a deficient number, since it is larger than the sum of its proper divisors (4608311179).

100110013301 is a wasteful number, since it uses less digits than its factorization.

100110013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291884.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100110013301 its reverse (103310011001), we get a palindrome (203420024302).

The spelling of 100110013301 in words is "one hundred billion, one hundred ten million, thirteen thousand, three hundred one".