201100113 has 6 divisors (see below), whose sum is σ = 290477954. Its totient is φ = 134066736.

The previous prime is 201100099. The next prime is 201100117. The reversal of 201100113 is 311001102.

It can be written as a sum of positive squares in only one way, i.e., 177742224 + 23357889 = 13332^2 + 4833^2 .

It is not a de Polignac number, because 201100113 - 2⁶ = 201100049 is a prime.

It is a super-2 number, since 2×201100113² = 80882510897225538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22344457 = 201100113 / (2 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201100095 and 201100104.

It is not an unprimeable number, because it can be changed into a prime (201100117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11172220 + ... + 11172237.

Almost surely, 2^201100113 is an apocalyptic number.

It is an amenable number.

201100113 is a deficient number, since it is larger than the sum of its proper divisors (89377841).

201100113 is a wasteful number, since it uses less digits than its factorization.

201100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22344463 (or 22344460 counting only the distinct ones).

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

The square root of 201100113 is about 14180.9771525096. The cubic root of 201100113 is about 585.8738376102.

Adding to 201100113 its reverse (311001102), we get a palindrome (512101215).

The spelling of 201100113 in words is "two hundred one million, one hundred thousand, one hundred thirteen".