2212313102101 has 16 divisors (see below), whose sum is σ = 2262632299200. Its totient is φ = 2162425507200.

The previous prime is 2212313102063. The next prime is 2212313102137. The reversal of 2212313102101 is 1012013132122.

It is a cyclic number.

It is not a de Polignac number, because 2212313102101 - 2²¹ = 2212311004949 is a prime.

It is a super-2 number, since 2×2212313102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212313102141) 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 15 ways as a sum of consecutive naturals, for example, 76991905 + ... + 77020633.

It is an arithmetic number, because the mean of its divisors is an integer number (141414518700).

Almost surely, 2^{2212313102101} is an apocalyptic number.

It is an amenable number.

2212313102101 is a deficient number, since it is larger than the sum of its proper divisors (50319197099).

2212313102101 is a wasteful number, since it uses less digits than its factorization.

2212313102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36180.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2212313102101 its reverse (1012013132122), we get a palindrome (3224326234223).

The spelling of 2212313102101 in words is "two trillion, two hundred twelve billion, three hundred thirteen million, one hundred two thousand, one hundred one".