101131203201 has 16 divisors (see below), whose sum is σ = 159418646400. Its totient is φ = 55796525568.

The previous prime is 101131203191. The next prime is 101131203211. The reversal of 101131203201 is 102302131101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101131203191) and next prime (101131203211).

It is not a de Polignac number, because 101131203201 - 2¹⁸ = 101130941057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101131203211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83029936 + ... + 83031153.

It is an arithmetic number, because the mean of its divisors is an integer number (9963665400).

Almost surely, 2^101131203201 is an apocalyptic number.

It is an amenable number.

101131203201 is a deficient number, since it is larger than the sum of its proper divisors (58287443199).

101131203201 is a wasteful number, since it uses less digits than its factorization.

101131203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166061128.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101131203201 its reverse (102302131101), we get a palindrome (203433334302).

The spelling of 101131203201 in words is "one hundred one billion, one hundred thirty-one million, two hundred three thousand, two hundred one".