100201113 has 24 divisors (see below), whose sum is σ = 148363488. Its totient is φ = 65146752.

The previous prime is 100201109. The next prime is 100201139. The reversal of 100201113 is 311102001.

It is not a de Polignac number, because 100201113 - 2² = 100201109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201095 and 100201104.

It is not an unprimeable number, because it can be changed into a prime (100201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63745 + ... + 65297.

It is an arithmetic number, because the mean of its divisors is an integer number (6181812).

Almost surely, 2^100201113 is an apocalyptic number.

It is an amenable number.

100201113 is a deficient number, since it is larger than the sum of its proper divisors (48162375).

100201113 is a wasteful number, since it uses less digits than its factorization.

100201113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100201113 is about 10010.0505992727. The cubic root of 100201113 is about 464.4698362838.

Adding to 100201113 its reverse (311102001), we get a palindrome (411303114).

The spelling of 100201113 in words is "one hundred million, two hundred one thousand, one hundred thirteen".