2122111122201 has 36 divisors (see below), whose sum is σ = 3565944310500. Its totient is φ = 1212560048448.

The previous prime is 2122111122199. The next prime is 2122111122223. The reversal of 2122111122201 is 1022211112212.

It can be written as a sum of positive squares in 2 ways, for example, as 1431250929801 + 690860192400 = 1196349^2 + 831180^2 .

It is not a de Polignac number, because 2122111122201 - 2¹ = 2122111122199 is a prime.

It is a super-2 number, since 2×2122111122201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122111122601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7440375 + ... + 7720323.

It is an arithmetic number, because the mean of its divisors is an integer number (99054008625).

Almost surely, 2^{2122111122201} is an apocalyptic number.

2122111122201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122111122201 is a deficient number, since it is larger than the sum of its proper divisors (1443833188299).

2122111122201 is a wasteful number, since it uses less digits than its factorization.

2122111122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297158 (or 297148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122111122201 its reverse (1022211112212), we get a palindrome (3144322234413).

The spelling of 2122111122201 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred one".