22101011111120 has 80 divisors (see below), whose sum is σ = 52578490832640. Its totient is φ = 8635766349312.

The previous prime is 22101011111119. The next prime is 22101011111129. The reversal of 22101011111120 is 2111111010122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22101011111095 and 22101011111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101011111129) 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, 3652955 + ... + 7585914.

It is an arithmetic number, because the mean of its divisors is an integer number (657231135408).

Almost surely, 2^{22101011111120} is an apocalyptic number.

22101011111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101011111120 is an abundant number, since it is smaller than the sum of its proper divisors (30477479721520).

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

22101011111120 is a wasteful number, since it uses less digits than its factorization.

22101011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239452 (or 11239446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 22101011111120 its reverse (2111111010122), we get a palindrome (24212122121242).

The spelling of 22101011111120 in words is "twenty-two trillion, one hundred one billion, eleven million, one hundred eleven thousand, one hundred twenty".