2212000010101 has 12 divisors (see below), whose sum is σ = 2724504215148. Its totient is φ = 1784470595712.

The previous prime is 2212000010029. The next prime is 2212000010107. The reversal of 2212000010101 is 1010100002122.

It can be written as a sum of positive squares in 2 ways, for example, as 848415999025 + 1363584011076 = 921095^2 + 1167726^2 .

It is not a de Polignac number, because 2212000010101 - 2¹³ = 2212000001909 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 (2212000010107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327730266 + ... + 1327731931.

It is an arithmetic number, because the mean of its divisors is an integer number (227042017929).

Almost surely, 2^{2212000010101} is an apocalyptic number.

It is an amenable number.

2212000010101 is a deficient number, since it is larger than the sum of its proper divisors (512504205047).

2212000010101 is a wasteful number, since it uses less digits than its factorization.

2212000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655462228 (or 2655462221 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2212000010101 its reverse (1010100002122), we get a palindrome (3222100012223).

The spelling of 2212000010101 in words is "two trillion, two hundred twelve billion, ten thousand, one hundred one".