2211111100120 has 64 divisors (see below), whose sum is σ = 5530521104640. Its totient is φ = 790074432000.

The previous prime is 2211111100117. The next prime is 2211111100153. The reversal of 2211111100120 is 210011111122.

It is a happy number.

2211111100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2211111100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68566731 + ... + 68598970.

It is an arithmetic number, because the mean of its divisors is an integer number (86414392260).

Almost surely, 2^{2211111100120} is an apocalyptic number.

2211111100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211111100120 is an abundant number, since it is smaller than the sum of its proper divisors (3319410004520).

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

2211111100120 is a wasteful number, since it uses less digits than its factorization.

2211111100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137165756 (or 137165752 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2211111100120 its reverse (210011111122), we get a palindrome (2421122211242).

It can be divided in two parts, 221111 and 1100120, that added together give a palindrome (1321231).

The spelling of 2211111100120 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred twenty".