101131010201 has 8 divisors (see below), whose sum is σ = 115316808264. Its totient is φ = 87860424960.

The previous prime is 101131010191. The next prime is 101131010213. The reversal of 101131010201 is 102010131101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1212432400 + 99918577801 = 34820^2 + 316099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131010201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101131010251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228802970 + ... + 228803411.

It is an arithmetic number, because the mean of its divisors is an integer number (14414601033).

Almost surely, 2^101131010201 is an apocalyptic number.

It is an amenable number.

101131010201 is a deficient number, since it is larger than the sum of its proper divisors (14185798063).

101131010201 is a wasteful number, since it uses less digits than its factorization.

101131010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457606411.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101131010201 its reverse (102010131101), we get a palindrome (203141141302).

The spelling of 101131010201 in words is "one hundred one billion, one hundred thirty-one million, ten thousand, two hundred one".