101200112205 has 32 divisors (see below), whose sum is σ = 170553072000. Its totient is φ = 51099455232.

The previous prime is 101200112197. The next prime is 101200112239. The reversal of 101200112205 is 502211002101.

It is not a de Polignac number, because 101200112205 - 2³ = 101200112197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326847 + ... + 556083.

It is an arithmetic number, because the mean of its divisors is an integer number (5329783500).

Almost surely, 2^101200112205 is an apocalyptic number.

101200112205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101200112205 is a deficient number, since it is larger than the sum of its proper divisors (69352959795).

101200112205 is a wasteful number, since it uses less digits than its factorization.

101200112205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230813.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101200112205 its reverse (502211002101), we get a palindrome (603411114306).

The spelling of 101200112205 in words is "one hundred one billion, two hundred million, one hundred twelve thousand, two hundred five".