101200131 has 8 divisors (see below), whose sum is σ = 149926160. Its totient is φ = 67466736.

The previous prime is 101200117. The next prime is 101200139. The reversal of 101200131 is 131002101.

It is not a de Polignac number, because 101200131 - 2⁶ = 101200067 is a prime.

It is a super-2 number, since 2×101200131² = 20482933028834322, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874050 + ... + 1874103.

It is an arithmetic number, because the mean of its divisors is an integer number (18740770).

Almost surely, 2^101200131 is an apocalyptic number.

101200131 is a deficient number, since it is larger than the sum of its proper divisors (48726029).

101200131 is an equidigital number, since it uses as much as digits as its factorization.

101200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748162 (or 3748156 counting only the distinct ones).

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

The square root of 101200131 is about 10059.8275830155. The cubic root of 101200131 is about 466.0083425474.

Adding to 101200131 its reverse (131002101), we get a palindrome (232202232).

The spelling of 101200131 in words is "one hundred one million, two hundred thousand, one hundred thirty-one".