2112122201101 has 64 divisors (see below), whose sum is σ = 2397201806592. Its totient is φ = 1860186240000.

The previous prime is 2112122201041. The next prime is 2112122201107. The reversal of 2112122201101 is 1011022212112.

It is not a de Polignac number, because 2112122201101 - 2⁹ = 2112122200589 is a prime.

It is a super-2 number, since 2×2112122201101² (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 (2112122201107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1344443646 + ... + 1344445216.

It is an arithmetic number, because the mean of its divisors is an integer number (37456278228).

Almost surely, 2^{2112122201101} is an apocalyptic number.

It is an amenable number.

2112122201101 is a deficient number, since it is larger than the sum of its proper divisors (285079605491).

2112122201101 is a wasteful number, since it uses less digits than its factorization.

2112122201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112122201101 its reverse (1011022212112), we get a palindrome (3123144413213).

It can be divided in two parts, 21121 and 22201101, that added together give a palindrome (22222222).

The spelling of 2112122201101 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred one".