2205212442101 has 16 divisors (see below), whose sum is σ = 2302206177648. Its totient is φ = 2110194892800.

The previous prime is 2205212442007. The next prime is 2205212442149. The reversal of 2205212442101 is 1012442125022.

It can be written as a sum of positive squares in 8 ways, for example, as 697891489201 + 1507320952900 = 835399^2 + 1227730^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2205212442101 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 (2205212442151) 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 15 ways as a sum of consecutive naturals, for example, 21328991 + ... + 21432131.

It is an arithmetic number, because the mean of its divisors is an integer number (143887886103).

Almost surely, 2^{2205212442101} is an apocalyptic number.

It is an amenable number.

2205212442101 is a deficient number, since it is larger than the sum of its proper divisors (96993735547).

2205212442101 is a wasteful number, since it uses less digits than its factorization.

2205212442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112712.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 2205212442101 its reverse (1012442125022), we get a palindrome (3217654567123).

The spelling of 2205212442101 in words is "two trillion, two hundred five billion, two hundred twelve million, four hundred forty-two thousand, one hundred one".