2211102211120 has 80 divisors (see below), whose sum is σ = 5642565495552. Its totient is φ = 799104372480.

The previous prime is 2211102211111. The next prime is 2211102211121. The reversal of 2211102211120 is 211122011122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2211102211094 and 2211102211103.

It is not an unprimeable number, because it can be changed into a prime (2211102211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7563972 + ... + 7850851.

Almost surely, 2^{2211102211120} is an apocalyptic number.

2211102211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211102211120 is an abundant number, since it is smaller than the sum of its proper divisors (3431463284432).

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

2211102211120 is a wasteful number, since it uses less digits than its factorization.

2211102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15415010 (or 15415004 counting only the distinct ones).

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

Adding to 2211102211120 its reverse (211122011122), we get a palindrome (2422224222242).

The spelling of 2211102211120 in words is "two trillion, two hundred eleven billion, one hundred two million, two hundred eleven thousand, one hundred twenty".