20211022111120 has 80 divisors (see below), whose sum is σ = 47521497469680. Its totient is φ = 7993087229952.

The previous prime is 20211022111109. The next prime is 20211022111261. The reversal of 20211022111120 is 2111122011202.

It can be written as a sum of positive squares in 8 ways, for example, as 60403875984 + 20150618235136 = 245772^2 + 4488944^2 .

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 = 20211022111094 and 20211022111103.

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, 131165962 + ... + 131319958.

It is an arithmetic number, because the mean of its divisors is an integer number (594018718371).

Almost surely, 2^{20211022111120} is an apocalyptic number.

20211022111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211022111120 is an abundant number, since it is smaller than the sum of its proper divisors (27310475358560).

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

20211022111120 is a wasteful number, since it uses less digits than its factorization.

20211022111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172532 (or 172526 counting only the distinct ones).

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

Adding to 20211022111120 its reverse (2111122011202), we get a palindrome (22322144122322).

The spelling of 20211022111120 in words is "twenty trillion, two hundred eleven billion, twenty-two million, one hundred eleven thousand, one hundred twenty".