100201113001 has 16 divisors (see below), whose sum is σ = 110771251200. Its totient is φ = 89876077200.

The previous prime is 100201112941. The next prime is 100201113031. The reversal of 100201113001 is 100311102001.

It is a cyclic number.

It is not a de Polignac number, because 100201113001 - 2¹¹ = 100201110953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201113031) 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, 1228356 + ... + 1307386.

It is an arithmetic number, because the mean of its divisors is an integer number (6923203200).

Almost surely, 2^100201113001 is an apocalyptic number.

100201113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201113001 is a deficient number, since it is larger than the sum of its proper divisors (10570138199).

100201113001 is a wasteful number, since it uses less digits than its factorization.

100201113001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80580.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100201113001 its reverse (100311102001), we get a palindrome (200512215002).

The spelling of 100201113001 in words is "one hundred billion, two hundred one million, one hundred thirteen thousand, one".