20221100111120 has 20 divisors (see below), whose sum is σ = 47014057758540. Its totient is φ = 8088440044416.

The previous prime is 20221100111111. The next prime is 20221100111129. The reversal of 20221100111120 is 2111100112202.

It is an interprime number because it is at equal distance from previous prime (20221100111111) and next prime (20221100111129).

It can be written as a sum of positive squares in 2 ways, for example, as 7995615833104 + 12225484278016 = 2827652^2 + 3496496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 20221100111095 and 20221100111104.

It is not an unprimeable number, because it can be changed into a prime (20221100111129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126381875615 + ... + 126381875774.

It is an arithmetic number, because the mean of its divisors is an integer number (2350702887927).

Almost surely, 2^{20221100111120} is an apocalyptic number.

20221100111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221100111120 is an abundant number, since it is smaller than the sum of its proper divisors (26792957647420).

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

20221100111120 is a wasteful number, since it uses less digits than its factorization.

20221100111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252763751402 (or 252763751396 counting only the distinct ones).

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

Adding to 20221100111120 its reverse (2111100112202), we get a palindrome (22332200223322).

The spelling of 20221100111120 in words is "twenty trillion, two hundred twenty-one billion, one hundred million, one hundred eleven thousand, one hundred twenty".