101200561 has 16 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 78688080.

The previous prime is 101200549. The next prime is 101200571. The reversal of 101200561 is 165002101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101200561 - 2¹⁹ = 100676273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101200531) 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, 44080 + ... + 46318.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2^101200561 is an apocalyptic number.

101200561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200561 is a deficient number, since it is larger than the sum of its proper divisors (25242959).

101200561 is a wasteful number, since it uses less digits than its factorization.

101200561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 101200561 is about 10059.8489551285. The cubic root of 101200561 is about 466.0090025707.

Adding to 101200561 its reverse (165002101), we get a palindrome (266202662).

It can be divided in two parts, 101200 and 561, that added together give a square (101761 = 319²).

The spelling of 101200561 in words is "one hundred one million, two hundred thousand, five hundred sixty-one".