2181263148101 has 8 divisors (see below), whose sum is σ = 2191740073560. Its totient is φ = 2170810504192.

The previous prime is 2181263148061. The next prime is 2181263148107. The reversal of 2181263148101 is 1018413621812.

It is a Cunningham number, because it is equal to 1476910²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 886185007876 + 1295078140225 = 941374^2 + 1138015^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2181263148101 - 2⁶ = 2181263148037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181263148107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5890280 + ... + 6249633.

It is an arithmetic number, because the mean of its divisors is an integer number (273967509195).

Almost surely, 2^{2181263148101} is an apocalyptic number.

It is an amenable number.

2181263148101 is a deficient number, since it is larger than the sum of its proper divisors (10476925459).

2181263148101 is a wasteful number, since it uses less digits than its factorization.

2181263148101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140775.

The product of its (nonzero) digits is 18432, while the sum is 38.

Adding to 2181263148101 its reverse (1018413621812), we get a palindrome (3199676769913).

The spelling of 2181263148101 in words is "two trillion, one hundred eighty-one billion, two hundred sixty-three million, one hundred forty-eight thousand, one hundred one".