101131131201101 has 4 divisors (see below), whose sum is σ = 107080021271772. Its totient is φ = 95182241130432.

The previous prime is 101131131201097. The next prime is 101131131201137. The reversal of 101131131201101 is 101102131131101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75859135381225 + 25271995819876 = 8709715^2 + 5027126^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131131201101 - 2² = 101131131201097 is a prime.

It is a super-2 number, since 2×101131131201101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 5948890070653 = 101131131201101 / (1 + 0 + 1 + 1 + 3 + 1 + 1 + 3 + 1 + 2 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101131131201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131131201161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2974445035310 + ... + 2974445035343.

It is an arithmetic number, because the mean of its divisors is an integer number (26770005317943).

Almost surely, 2^{101131131201101} is an apocalyptic number.

It is an amenable number.

101131131201101 is a deficient number, since it is larger than the sum of its proper divisors (5948890070671).

101131131201101 is an equidigital number, since it uses as much as digits as its factorization.

101131131201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948890070670.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 101131131201101 its reverse (101102131131101), we get a palindrome (202233262332202).

The spelling of 101131131201101 in words is "one hundred one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred one thousand, one hundred one".