2212612101 has 72 divisors (see below), whose sum is σ = 4072624920. Its totient is φ = 1148829696.

The previous prime is 2212612093. The next prime is 2212612153. The reversal of 2212612101 is 1012162122.

It can be written as a sum of positive squares in 4 ways, for example, as 774230625 + 1438381476 = 27825^2 + 37926^2 .

It is not a de Polignac number, because 2212612101 - 2³ = 2212612093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212617101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212325 + ... + 222501.

It is an arithmetic number, because the mean of its divisors is an integer number (56564235).

Almost surely, 2^2212612101 is an apocalyptic number.

2212612101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212612101 is a deficient number, since it is larger than the sum of its proper divisors (1860012819).

2212612101 is a wasteful number, since it uses less digits than its factorization.

2212612101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10243 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2212612101 is about 47038.4109106590. The cubic root of 2212612101 is about 1303.0720445606.

Adding to 2212612101 its reverse (1012162122), we get a palindrome (3224774223).

The spelling of 2212612101 in words is "two billion, two hundred twelve million, six hundred twelve thousand, one hundred one".