2211101102120 has 128 divisors (see below), whose sum is σ = 5061816748800. Its totient is φ = 869149440000.

The previous prime is 2211101102101. The next prime is 2211101102137. The reversal of 2211101102120 is 212011011122.

It is a junction number, because it is equal to n+sod(n) for n = 2211101102095 and 2211101102104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 545814095 + ... + 545818145.

It is an arithmetic number, because the mean of its divisors is an integer number (39545443350).

Almost surely, 2^{2211101102120} is an apocalyptic number.

2211101102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211101102120 is an abundant number, since it is smaller than the sum of its proper divisors (2850715646680).

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

2211101102120 is a wasteful number, since it uses less digits than its factorization.

2211101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2211101102120 its reverse (212011011122), we get a palindrome (2423112113242).

The spelling of 2211101102120 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred two thousand, one hundred twenty".