2112201010101 has 48 divisors (see below), whose sum is σ = 3492071118720. Its totient is φ = 1111938197760.

The previous prime is 2112201010093. The next prime is 2112201010109. The reversal of 2112201010101 is 1010101022112.

It is an interprime number because it is at equal distance from previous prime (2112201010093) and next prime (2112201010109).

It is not a de Polignac number, because 2112201010101 - 2³ = 2112201010093 is a prime.

It is a super-3 number, since 3×2112201010101³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

2112201010101 is a modest number, since divided by 1010101 gives 21122 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112201010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221811 + ... + 2391071.

It is an arithmetic number, because the mean of its divisors is an integer number (72751481640).

Almost surely, 2^{2112201010101} is an apocalyptic number.

2112201010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112201010101 is a deficient number, since it is larger than the sum of its proper divisors (1379870108619).

2112201010101 is a wasteful number, since it uses less digits than its factorization.

2112201010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169806 (or 1169793 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112201010101 its reverse (1010101022112), we get a palindrome (3122302032213).

The spelling of 2112201010101 in words is "two trillion, one hundred twelve billion, two hundred one million, ten thousand, one hundred one".