2211121012122 has 48 divisors (see below), whose sum is σ = 5394875915520. Its totient is φ = 648422582400.

The previous prime is 2211121012097. The next prime is 2211121012127. The reversal of 2211121012122 is 2212101211122.

It is a super-2 number, since 2×2211121012122² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211121012095 and 2211121012104.

It is not an unprimeable number, because it can be changed into a prime (2211121012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180111247 + ... + 180123522.

It is an arithmetic number, because the mean of its divisors is an integer number (112393248240).

Almost surely, 2^{2211121012122} is an apocalyptic number.

2211121012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2211121012122 is an abundant number, since it is smaller than the sum of its proper divisors (3183754903398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211121012122 is a wasteful number, since it uses less digits than its factorization.

2211121012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360234819 (or 360234816 counting only the distinct ones).

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

Adding to 2211121012122 its reverse (2212101211122), we get a palindrome (4423222223244).

The spelling of 2211121012122 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, twelve thousand, one hundred twenty-two".