101200113 has 24 divisors (see below), whose sum is σ = 170950208. Its totient is φ = 56482272.

The previous prime is 101200109. The next prime is 101200117. The reversal of 101200113 is 311002101.

It is an interprime number because it is at equal distance from previous prime (101200109) and next prime (101200117).

It is not a de Polignac number, because 101200113 - 2² = 101200109 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200095 and 101200104.

It is not an unprimeable number, because it can be changed into a prime (101200117) 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, 15970 + ... + 21387.

Almost surely, 2^101200113 is an apocalyptic number.

It is an amenable number.

101200113 is a deficient number, since it is larger than the sum of its proper divisors (69750095).

101200113 is a wasteful number, since it uses less digits than its factorization.

101200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37413 (or 37410 counting only the distinct ones).

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

The square root of 101200113 is about 10059.8266883679. The cubic root of 101200113 is about 466.0083149185.

Adding to 101200113 its reverse (311002101), we get a palindrome (412202214).

The spelling of 101200113 in words is "one hundred one million, two hundred thousand, one hundred thirteen".