101131112201 has 12 divisors (see below), whose sum is σ = 124562451348. Its totient is φ = 81584762112.

The previous prime is 101131112189. The next prime is 101131112207. The reversal of 101131112201 is 102211131101.

It can be written as a sum of positive squares in 2 ways, for example, as 88339728400 + 12791383801 = 297220^2 + 113099^2 .

It is not a de Polignac number, because 101131112201 - 2¹⁴ = 101131095817 is a prime.

It is a super-2 number, since 2×101131112201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131112207) 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 11 ways as a sum of consecutive naturals, for example, 60702116 + ... + 60703781.

It is an arithmetic number, because the mean of its divisors is an integer number (10380204279).

Almost surely, 2^101131112201 is an apocalyptic number.

It is an amenable number.

101131112201 is a deficient number, since it is larger than the sum of its proper divisors (23431339147).

101131112201 is a wasteful number, since it uses less digits than its factorization.

101131112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121405928 (or 121405921 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101131112201 its reverse (102211131101), we get a palindrome (203342243302).

The spelling of 101131112201 in words is "one hundred one billion, one hundred thirty-one million, one hundred twelve thousand, two hundred one".